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Simplifying 4(2x + -4) + -12 = 3(x + -1) Reorder the terms: 4(-4 + 2x) + -12 = 3(x + -1) (-4 * 4 + 2x * 4) + -12 = 3(x + -1) (-16 + 8x) + -12 = 3(x + -1) Reorder the terms: -16 + -12 + 8x = 3(x + -1) Combine like terms: -16 + -12 = -28 -28 + 8x = 3(x + -1) Reorder the terms: -28 + 8x = 3(-1 + x) -28 + 8x = (-1 * 3 + x * 3) -28 + 8x = (-3 + 3x) Solving -28 + 8x = -3 + 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. -28 + 8x + -3x = -3 + 3x + -3x Combine like terms: 8x + -3x = 5x -28 + 5x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 5x = -3 + 0 -28 + 5x = -3 Add '28' to each side of the equation. -28 + 28 + 5x = -3 + 28 Combine like terms: -28 + 28 = 0 0 + 5x = -3 + 28 5x = -3 + 28 Combine like terms: -3 + 28 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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