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Simplifying -1(5x + -5) + -1(4x + -5) + 2 = -10(x + -1) + -1(4x + 11) + 3 Reorder the terms: -1(-5 + 5x) + -1(4x + -5) + 2 = -10(x + -1) + -1(4x + 11) + 3 (-5 * -1 + 5x * -1) + -1(4x + -5) + 2 = -10(x + -1) + -1(4x + 11) + 3 (5 + -5x) + -1(4x + -5) + 2 = -10(x + -1) + -1(4x + 11) + 3 Reorder the terms: 5 + -5x + -1(-5 + 4x) + 2 = -10(x + -1) + -1(4x + 11) + 3 5 + -5x + (-5 * -1 + 4x * -1) + 2 = -10(x + -1) + -1(4x + 11) + 3 5 + -5x + (5 + -4x) + 2 = -10(x + -1) + -1(4x + 11) + 3 Reorder the terms: 5 + 5 + 2 + -5x + -4x = -10(x + -1) + -1(4x + 11) + 3 Combine like terms: 5 + 5 = 10 10 + 2 + -5x + -4x = -10(x + -1) + -1(4x + 11) + 3 Combine like terms: 10 + 2 = 12 12 + -5x + -4x = -10(x + -1) + -1(4x + 11) + 3 Combine like terms: -5x + -4x = -9x 12 + -9x = -10(x + -1) + -1(4x + 11) + 3 Reorder the terms: 12 + -9x = -10(-1 + x) + -1(4x + 11) + 3 12 + -9x = (-1 * -10 + x * -10) + -1(4x + 11) + 3 12 + -9x = (10 + -10x) + -1(4x + 11) + 3 Reorder the terms: 12 + -9x = 10 + -10x + -1(11 + 4x) + 3 12 + -9x = 10 + -10x + (11 * -1 + 4x * -1) + 3 12 + -9x = 10 + -10x + (-11 + -4x) + 3 Reorder the terms: 12 + -9x = 10 + -11 + 3 + -10x + -4x Combine like terms: 10 + -11 = -1 12 + -9x = -1 + 3 + -10x + -4x Combine like terms: -1 + 3 = 2 12 + -9x = 2 + -10x + -4x Combine like terms: -10x + -4x = -14x 12 + -9x = 2 + -14x Solving 12 + -9x = 2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 12 + -9x + 14x = 2 + -14x + 14x Combine like terms: -9x + 14x = 5x 12 + 5x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 12 + 5x = 2 + 0 12 + 5x = 2 Add '-12' to each side of the equation. 12 + -12 + 5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 2 + -12 5x = 2 + -12 Combine like terms: 2 + -12 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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