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