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Simplifying 12x + -3(x + 5) = 4(2x + -4) Reorder the terms: 12x + -3(5 + x) = 4(2x + -4) 12x + (5 * -3 + x * -3) = 4(2x + -4) 12x + (-15 + -3x) = 4(2x + -4) Reorder the terms: -15 + 12x + -3x = 4(2x + -4) Combine like terms: 12x + -3x = 9x -15 + 9x = 4(2x + -4) Reorder the terms: -15 + 9x = 4(-4 + 2x) -15 + 9x = (-4 * 4 + 2x * 4) -15 + 9x = (-16 + 8x) Solving -15 + 9x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 9x + -8x = -16 + 8x + -8x Combine like terms: 9x + -8x = 1x -15 + 1x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 1x = -16 + 0 -15 + 1x = -16 Add '15' to each side of the equation. -15 + 15 + 1x = -16 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -16 + 15 1x = -16 + 15 Combine like terms: -16 + 15 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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