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Simplifying 4(x + -1) + -4 * 12 = 3(x + -5) Reorder the terms: 4(-1 + x) + -4 * 12 = 3(x + -5) (-1 * 4 + x * 4) + -4 * 12 = 3(x + -5) (-4 + 4x) + -4 * 12 = 3(x + -5) Multiply -4 * 12 -4 + 4x + -48 = 3(x + -5) Reorder the terms: -4 + -48 + 4x = 3(x + -5) Combine like terms: -4 + -48 = -52 -52 + 4x = 3(x + -5) Reorder the terms: -52 + 4x = 3(-5 + x) -52 + 4x = (-5 * 3 + x * 3) -52 + 4x = (-15 + 3x) Solving -52 + 4x = -15 + 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. -52 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x -52 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -52 + 1x = -15 + 0 -52 + 1x = -15 Add '52' to each side of the equation. -52 + 52 + 1x = -15 + 52 Combine like terms: -52 + 52 = 0 0 + 1x = -15 + 52 1x = -15 + 52 Combine like terms: -15 + 52 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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