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Simplifying 3(x + -2) = 5(x + -4) + -3x Reorder the terms: 3(-2 + x) = 5(x + -4) + -3x (-2 * 3 + x * 3) = 5(x + -4) + -3x (-6 + 3x) = 5(x + -4) + -3x Reorder the terms: -6 + 3x = 5(-4 + x) + -3x -6 + 3x = (-4 * 5 + x * 5) + -3x -6 + 3x = (-20 + 5x) + -3x Combine like terms: 5x + -3x = 2x -6 + 3x = -20 + 2x Solving -6 + 3x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 3x + -2x = -20 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = -20 + 0 -6 + 1x = -20 Add '6' to each side of the equation. -6 + 6 + 1x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -20 + 6 1x = -20 + 6 Combine like terms: -20 + 6 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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