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Simplifying -10x + 6 + -5(x + -1) = -5x + -1(9x + -5) + 5 Reorder the terms: -10x + 6 + -5(-1 + x) = -5x + -1(9x + -5) + 5 -10x + 6 + (-1 * -5 + x * -5) = -5x + -1(9x + -5) + 5 -10x + 6 + (5 + -5x) = -5x + -1(9x + -5) + 5 Reorder the terms: 6 + 5 + -10x + -5x = -5x + -1(9x + -5) + 5 Combine like terms: 6 + 5 = 11 11 + -10x + -5x = -5x + -1(9x + -5) + 5 Combine like terms: -10x + -5x = -15x 11 + -15x = -5x + -1(9x + -5) + 5 Reorder the terms: 11 + -15x = -5x + -1(-5 + 9x) + 5 11 + -15x = -5x + (-5 * -1 + 9x * -1) + 5 11 + -15x = -5x + (5 + -9x) + 5 Reorder the terms: 11 + -15x = 5 + 5 + -5x + -9x Combine like terms: 5 + 5 = 10 11 + -15x = 10 + -5x + -9x Combine like terms: -5x + -9x = -14x 11 + -15x = 10 + -14x Solving 11 + -15x = 10 + -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. 11 + -15x + 14x = 10 + -14x + 14x Combine like terms: -15x + 14x = -1x 11 + -1x = 10 + -14x + 14x Combine like terms: -14x + 14x = 0 11 + -1x = 10 + 0 11 + -1x = 10 Add '-11' to each side of the equation. 11 + -11 + -1x = 10 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 10 + -11 -1x = 10 + -11 Combine like terms: 10 + -11 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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