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Simplifying -5(x + 1) + 3x = -1(x + 1) + -10 Reorder the terms: -5(1 + x) + 3x = -1(x + 1) + -10 (1 * -5 + x * -5) + 3x = -1(x + 1) + -10 (-5 + -5x) + 3x = -1(x + 1) + -10 Combine like terms: -5x + 3x = -2x -5 + -2x = -1(x + 1) + -10 Reorder the terms: -5 + -2x = -1(1 + x) + -10 -5 + -2x = (1 * -1 + x * -1) + -10 -5 + -2x = (-1 + -1x) + -10 Reorder the terms: -5 + -2x = -1 + -10 + -1x Combine like terms: -1 + -10 = -11 -5 + -2x = -11 + -1x Solving -5 + -2x = -11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + -2x + x = -11 + -1x + x Combine like terms: -2x + x = -1x -5 + -1x = -11 + -1x + x Combine like terms: -1x + x = 0 -5 + -1x = -11 + 0 -5 + -1x = -11 Add '5' to each side of the equation. -5 + 5 + -1x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -11 + 5 -1x = -11 + 5 Combine like terms: -11 + 5 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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