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Simplifying -2(x + 5) + -3 = 2 + -3(x + 1) Reorder the terms: -2(5 + x) + -3 = 2 + -3(x + 1) (5 * -2 + x * -2) + -3 = 2 + -3(x + 1) (-10 + -2x) + -3 = 2 + -3(x + 1) Reorder the terms: -10 + -3 + -2x = 2 + -3(x + 1) Combine like terms: -10 + -3 = -13 -13 + -2x = 2 + -3(x + 1) Reorder the terms: -13 + -2x = 2 + -3(1 + x) -13 + -2x = 2 + (1 * -3 + x * -3) -13 + -2x = 2 + (-3 + -3x) Combine like terms: 2 + -3 = -1 -13 + -2x = -1 + -3x Solving -13 + -2x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -13 + -2x + 3x = -1 + -3x + 3x Combine like terms: -2x + 3x = 1x -13 + 1x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 1x = -1 + 0 -13 + 1x = -1 Add '13' to each side of the equation. -13 + 13 + 1x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -1 + 13 1x = -1 + 13 Combine like terms: -1 + 13 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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