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Simplifying 3(x + -1) + -1(4x + -5) = 2(3x + -1) + -10 Reorder the terms: 3(-1 + x) + -1(4x + -5) = 2(3x + -1) + -10 (-1 * 3 + x * 3) + -1(4x + -5) = 2(3x + -1) + -10 (-3 + 3x) + -1(4x + -5) = 2(3x + -1) + -10 Reorder the terms: -3 + 3x + -1(-5 + 4x) = 2(3x + -1) + -10 -3 + 3x + (-5 * -1 + 4x * -1) = 2(3x + -1) + -10 -3 + 3x + (5 + -4x) = 2(3x + -1) + -10 Reorder the terms: -3 + 5 + 3x + -4x = 2(3x + -1) + -10 Combine like terms: -3 + 5 = 2 2 + 3x + -4x = 2(3x + -1) + -10 Combine like terms: 3x + -4x = -1x 2 + -1x = 2(3x + -1) + -10 Reorder the terms: 2 + -1x = 2(-1 + 3x) + -10 2 + -1x = (-1 * 2 + 3x * 2) + -10 2 + -1x = (-2 + 6x) + -10 Reorder the terms: 2 + -1x = -2 + -10 + 6x Combine like terms: -2 + -10 = -12 2 + -1x = -12 + 6x Solving 2 + -1x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -1x + -6x = -12 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -7x = -12 + 0 2 + -7x = -12 Add '-2' to each side of the equation. 2 + -2 + -7x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -12 + -2 -7x = -12 + -2 Combine like terms: -12 + -2 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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