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Simplifying -3(x + 5) = -1(4x + 12) Reorder the terms: -3(5 + x) = -1(4x + 12) (5 * -3 + x * -3) = -1(4x + 12) (-15 + -3x) = -1(4x + 12) Reorder the terms: -15 + -3x = -1(12 + 4x) -15 + -3x = (12 * -1 + 4x * -1) -15 + -3x = (-12 + -4x) Solving -15 + -3x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + -3x + 4x = -12 + -4x + 4x Combine like terms: -3x + 4x = 1x -15 + 1x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 1x = -12 + 0 -15 + 1x = -12 Add '15' to each side of the equation. -15 + 15 + 1x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -12 + 15 1x = -12 + 15 Combine like terms: -12 + 15 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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