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Simplifying 4(x + -3) = 5(x + -1) Reorder the terms: 4(-3 + x) = 5(x + -1) (-3 * 4 + x * 4) = 5(x + -1) (-12 + 4x) = 5(x + -1) Reorder the terms: -12 + 4x = 5(-1 + x) -12 + 4x = (-1 * 5 + x * 5) -12 + 4x = (-5 + 5x) Solving -12 + 4x = -5 + 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 = -5 + 5x + -5x Combine like terms: 4x + -5x = -1x -12 + -1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -1x = -5 + 0 -12 + -1x = -5 Add '12' to each side of the equation. -12 + 12 + -1x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -5 + 12 -1x = -5 + 12 Combine like terms: -5 + 12 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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