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Simplifying -12(x + 1) + 4(4x + -3) = 3(x + -3) + 14 Reorder the terms: -12(1 + x) + 4(4x + -3) = 3(x + -3) + 14 (1 * -12 + x * -12) + 4(4x + -3) = 3(x + -3) + 14 (-12 + -12x) + 4(4x + -3) = 3(x + -3) + 14 Reorder the terms: -12 + -12x + 4(-3 + 4x) = 3(x + -3) + 14 -12 + -12x + (-3 * 4 + 4x * 4) = 3(x + -3) + 14 -12 + -12x + (-12 + 16x) = 3(x + -3) + 14 Reorder the terms: -12 + -12 + -12x + 16x = 3(x + -3) + 14 Combine like terms: -12 + -12 = -24 -24 + -12x + 16x = 3(x + -3) + 14 Combine like terms: -12x + 16x = 4x -24 + 4x = 3(x + -3) + 14 Reorder the terms: -24 + 4x = 3(-3 + x) + 14 -24 + 4x = (-3 * 3 + x * 3) + 14 -24 + 4x = (-9 + 3x) + 14 Reorder the terms: -24 + 4x = -9 + 14 + 3x Combine like terms: -9 + 14 = 5 -24 + 4x = 5 + 3x Solving -24 + 4x = 5 + 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. -24 + 4x + -3x = 5 + 3x + -3x Combine like terms: 4x + -3x = 1x -24 + 1x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 1x = 5 + 0 -24 + 1x = 5 Add '24' to each side of the equation. -24 + 24 + 1x = 5 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 5 + 24 1x = 5 + 24 Combine like terms: 5 + 24 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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