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Simplifying 12(x + -6) + -8(x + -7) = 3(x + -4) + -2 Reorder the terms: 12(-6 + x) + -8(x + -7) = 3(x + -4) + -2 (-6 * 12 + x * 12) + -8(x + -7) = 3(x + -4) + -2 (-72 + 12x) + -8(x + -7) = 3(x + -4) + -2 Reorder the terms: -72 + 12x + -8(-7 + x) = 3(x + -4) + -2 -72 + 12x + (-7 * -8 + x * -8) = 3(x + -4) + -2 -72 + 12x + (56 + -8x) = 3(x + -4) + -2 Reorder the terms: -72 + 56 + 12x + -8x = 3(x + -4) + -2 Combine like terms: -72 + 56 = -16 -16 + 12x + -8x = 3(x + -4) + -2 Combine like terms: 12x + -8x = 4x -16 + 4x = 3(x + -4) + -2 Reorder the terms: -16 + 4x = 3(-4 + x) + -2 -16 + 4x = (-4 * 3 + x * 3) + -2 -16 + 4x = (-12 + 3x) + -2 Reorder the terms: -16 + 4x = -12 + -2 + 3x Combine like terms: -12 + -2 = -14 -16 + 4x = -14 + 3x Solving -16 + 4x = -14 + 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. -16 + 4x + -3x = -14 + 3x + -3x Combine like terms: 4x + -3x = 1x -16 + 1x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 1x = -14 + 0 -16 + 1x = -14 Add '16' to each side of the equation. -16 + 16 + 1x = -14 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -14 + 16 1x = -14 + 16 Combine like terms: -14 + 16 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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