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Simplifying -2x + -3(x + 1) = -2(2x + 5) Reorder the terms: -2x + -3(1 + x) = -2(2x + 5) -2x + (1 * -3 + x * -3) = -2(2x + 5) -2x + (-3 + -3x) = -2(2x + 5) Reorder the terms: -3 + -2x + -3x = -2(2x + 5) Combine like terms: -2x + -3x = -5x -3 + -5x = -2(2x + 5) Reorder the terms: -3 + -5x = -2(5 + 2x) -3 + -5x = (5 * -2 + 2x * -2) -3 + -5x = (-10 + -4x) Solving -3 + -5x = -10 + -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. -3 + -5x + 4x = -10 + -4x + 4x Combine like terms: -5x + 4x = -1x -3 + -1x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + -1x = -10 + 0 -3 + -1x = -10 Add '3' to each side of the equation. -3 + 3 + -1x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -10 + 3 -1x = -10 + 3 Combine like terms: -10 + 3 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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