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Simplifying 12(x + -5) + -1(7x + -4) = x + 3(2 + 4x + -6) + 8 Reorder the terms: 12(-5 + x) + -1(7x + -4) = x + 3(2 + 4x + -6) + 8 (-5 * 12 + x * 12) + -1(7x + -4) = x + 3(2 + 4x + -6) + 8 (-60 + 12x) + -1(7x + -4) = x + 3(2 + 4x + -6) + 8 Reorder the terms: -60 + 12x + -1(-4 + 7x) = x + 3(2 + 4x + -6) + 8 -60 + 12x + (-4 * -1 + 7x * -1) = x + 3(2 + 4x + -6) + 8 -60 + 12x + (4 + -7x) = x + 3(2 + 4x + -6) + 8 Reorder the terms: -60 + 4 + 12x + -7x = x + 3(2 + 4x + -6) + 8 Combine like terms: -60 + 4 = -56 -56 + 12x + -7x = x + 3(2 + 4x + -6) + 8 Combine like terms: 12x + -7x = 5x -56 + 5x = x + 3(2 + 4x + -6) + 8 Reorder the terms: -56 + 5x = x + 3(2 + -6 + 4x) + 8 Combine like terms: 2 + -6 = -4 -56 + 5x = x + 3(-4 + 4x) + 8 -56 + 5x = x + (-4 * 3 + 4x * 3) + 8 -56 + 5x = x + (-12 + 12x) + 8 Reorder the terms: -56 + 5x = -12 + 8 + x + 12x Combine like terms: -12 + 8 = -4 -56 + 5x = -4 + x + 12x Combine like terms: x + 12x = 13x -56 + 5x = -4 + 13x Solving -56 + 5x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -56 + 5x + -13x = -4 + 13x + -13x Combine like terms: 5x + -13x = -8x -56 + -8x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 -56 + -8x = -4 + 0 -56 + -8x = -4 Add '56' to each side of the equation. -56 + 56 + -8x = -4 + 56 Combine like terms: -56 + 56 = 0 0 + -8x = -4 + 56 -8x = -4 + 56 Combine like terms: -4 + 56 = 52 -8x = 52 Divide each side by '-8'. x = -6.5 Simplifying x = -6.5
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