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Simplifying 3(x + -6) = 4(2x + -3) Reorder the terms: 3(-6 + x) = 4(2x + -3) (-6 * 3 + x * 3) = 4(2x + -3) (-18 + 3x) = 4(2x + -3) Reorder the terms: -18 + 3x = 4(-3 + 2x) -18 + 3x = (-3 * 4 + 2x * 4) -18 + 3x = (-12 + 8x) Solving -18 + 3x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 3x + -8x = -12 + 8x + -8x Combine like terms: 3x + -8x = -5x -18 + -5x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -5x = -12 + 0 -18 + -5x = -12 Add '18' to each side of the equation. -18 + 18 + -5x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -12 + 18 -5x = -12 + 18 Combine like terms: -12 + 18 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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