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Simplifying -4(x + 1) + 3(3x + -3) = 4(x + -4) + 12 Reorder the terms: -4(1 + x) + 3(3x + -3) = 4(x + -4) + 12 (1 * -4 + x * -4) + 3(3x + -3) = 4(x + -4) + 12 (-4 + -4x) + 3(3x + -3) = 4(x + -4) + 12 Reorder the terms: -4 + -4x + 3(-3 + 3x) = 4(x + -4) + 12 -4 + -4x + (-3 * 3 + 3x * 3) = 4(x + -4) + 12 -4 + -4x + (-9 + 9x) = 4(x + -4) + 12 Reorder the terms: -4 + -9 + -4x + 9x = 4(x + -4) + 12 Combine like terms: -4 + -9 = -13 -13 + -4x + 9x = 4(x + -4) + 12 Combine like terms: -4x + 9x = 5x -13 + 5x = 4(x + -4) + 12 Reorder the terms: -13 + 5x = 4(-4 + x) + 12 -13 + 5x = (-4 * 4 + x * 4) + 12 -13 + 5x = (-16 + 4x) + 12 Reorder the terms: -13 + 5x = -16 + 12 + 4x Combine like terms: -16 + 12 = -4 -13 + 5x = -4 + 4x Solving -13 + 5x = -4 + 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. -13 + 5x + -4x = -4 + 4x + -4x Combine like terms: 5x + -4x = 1x -13 + 1x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 1x = -4 + 0 -13 + 1x = -4 Add '13' to each side of the equation. -13 + 13 + 1x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -4 + 13 1x = -4 + 13 Combine like terms: -4 + 13 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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