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