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Simplifying -12(x + 3) + 4(4x + -3) = 3(x + -4) + 8 Reorder the terms: -12(3 + x) + 4(4x + -3) = 3(x + -4) + 8 (3 * -12 + x * -12) + 4(4x + -3) = 3(x + -4) + 8 (-36 + -12x) + 4(4x + -3) = 3(x + -4) + 8 Reorder the terms: -36 + -12x + 4(-3 + 4x) = 3(x + -4) + 8 -36 + -12x + (-3 * 4 + 4x * 4) = 3(x + -4) + 8 -36 + -12x + (-12 + 16x) = 3(x + -4) + 8 Reorder the terms: -36 + -12 + -12x + 16x = 3(x + -4) + 8 Combine like terms: -36 + -12 = -48 -48 + -12x + 16x = 3(x + -4) + 8 Combine like terms: -12x + 16x = 4x -48 + 4x = 3(x + -4) + 8 Reorder the terms: -48 + 4x = 3(-4 + x) + 8 -48 + 4x = (-4 * 3 + x * 3) + 8 -48 + 4x = (-12 + 3x) + 8 Reorder the terms: -48 + 4x = -12 + 8 + 3x Combine like terms: -12 + 8 = -4 -48 + 4x = -4 + 3x Solving -48 + 4x = -4 + 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. -48 + 4x + -3x = -4 + 3x + -3x Combine like terms: 4x + -3x = 1x -48 + 1x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 1x = -4 + 0 -48 + 1x = -4 Add '48' to each side of the equation. -48 + 48 + 1x = -4 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -4 + 48 1x = -4 + 48 Combine like terms: -4 + 48 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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