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Simplifying 4(x + -3) = 5(x + 6) Reorder the terms: 4(-3 + x) = 5(x + 6) (-3 * 4 + x * 4) = 5(x + 6) (-12 + 4x) = 5(x + 6) Reorder the terms: -12 + 4x = 5(6 + x) -12 + 4x = (6 * 5 + x * 5) -12 + 4x = (30 + 5x) Solving -12 + 4x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 4x + -5x = 30 + 5x + -5x Combine like terms: 4x + -5x = -1x -12 + -1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -1x = 30 + 0 -12 + -1x = 30 Add '12' to each side of the equation. -12 + 12 + -1x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 30 + 12 -1x = 30 + 12 Combine like terms: 30 + 12 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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