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Simplifying 10x + -5(1 + x) = 3(2x + -2) + -2 10x + (1 * -5 + x * -5) = 3(2x + -2) + -2 10x + (-5 + -5x) = 3(2x + -2) + -2 Reorder the terms: -5 + 10x + -5x = 3(2x + -2) + -2 Combine like terms: 10x + -5x = 5x -5 + 5x = 3(2x + -2) + -2 Reorder the terms: -5 + 5x = 3(-2 + 2x) + -2 -5 + 5x = (-2 * 3 + 2x * 3) + -2 -5 + 5x = (-6 + 6x) + -2 Reorder the terms: -5 + 5x = -6 + -2 + 6x Combine like terms: -6 + -2 = -8 -5 + 5x = -8 + 6x Solving -5 + 5x = -8 + 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. -5 + 5x + -6x = -8 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = -8 + 0 -5 + -1x = -8 Add '5' to each side of the equation. -5 + 5 + -1x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -8 + 5 -1x = -8 + 5 Combine like terms: -8 + 5 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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