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Simplifying 4(2x + -5) = 3(6x + -6) Reorder the terms: 4(-5 + 2x) = 3(6x + -6) (-5 * 4 + 2x * 4) = 3(6x + -6) (-20 + 8x) = 3(6x + -6) Reorder the terms: -20 + 8x = 3(-6 + 6x) -20 + 8x = (-6 * 3 + 6x * 3) -20 + 8x = (-18 + 18x) Solving -20 + 8x = -18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -20 + 8x + -18x = -18 + 18x + -18x Combine like terms: 8x + -18x = -10x -20 + -10x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 -20 + -10x = -18 + 0 -20 + -10x = -18 Add '20' to each side of the equation. -20 + 20 + -10x = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = -18 + 20 -10x = -18 + 20 Combine like terms: -18 + 20 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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