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Simplifying 5x + -2x = -3(x + -4) + 5(x + -6) Combine like terms: 5x + -2x = 3x 3x = -3(x + -4) + 5(x + -6) Reorder the terms: 3x = -3(-4 + x) + 5(x + -6) 3x = (-4 * -3 + x * -3) + 5(x + -6) 3x = (12 + -3x) + 5(x + -6) Reorder the terms: 3x = 12 + -3x + 5(-6 + x) 3x = 12 + -3x + (-6 * 5 + x * 5) 3x = 12 + -3x + (-30 + 5x) Reorder the terms: 3x = 12 + -30 + -3x + 5x Combine like terms: 12 + -30 = -18 3x = -18 + -3x + 5x Combine like terms: -3x + 5x = 2x 3x = -18 + 2x Solving 3x = -18 + 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. 3x + -2x = -18 + 2x + -2x Combine like terms: 3x + -2x = 1x 1x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 1x = -18 + 0 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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