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Simplifying -2 + 3(x + -4) = 3 + 5(x + -2) Reorder the terms: -2 + 3(-4 + x) = 3 + 5(x + -2) -2 + (-4 * 3 + x * 3) = 3 + 5(x + -2) -2 + (-12 + 3x) = 3 + 5(x + -2) Combine like terms: -2 + -12 = -14 -14 + 3x = 3 + 5(x + -2) Reorder the terms: -14 + 3x = 3 + 5(-2 + x) -14 + 3x = 3 + (-2 * 5 + x * 5) -14 + 3x = 3 + (-10 + 5x) Combine like terms: 3 + -10 = -7 -14 + 3x = -7 + 5x Solving -14 + 3x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 3x + -5x = -7 + 5x + -5x Combine like terms: 3x + -5x = -2x -14 + -2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -2x = -7 + 0 -14 + -2x = -7 Add '14' to each side of the equation. -14 + 14 + -2x = -7 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -7 + 14 -2x = -7 + 14 Combine like terms: -7 + 14 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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