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Simplifying 4(x + -3) = 5(2x + -6) Reorder the terms: 4(-3 + x) = 5(2x + -6) (-3 * 4 + x * 4) = 5(2x + -6) (-12 + 4x) = 5(2x + -6) Reorder the terms: -12 + 4x = 5(-6 + 2x) -12 + 4x = (-6 * 5 + 2x * 5) -12 + 4x = (-30 + 10x) Solving -12 + 4x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 4x + -10x = -30 + 10x + -10x Combine like terms: 4x + -10x = -6x -12 + -6x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -6x = -30 + 0 -12 + -6x = -30 Add '12' to each side of the equation. -12 + 12 + -6x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -30 + 12 -6x = -30 + 12 Combine like terms: -30 + 12 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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