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Simplifying -6(x + 3) + -2(8 + -6x) = 5(x + -4) + 7 Reorder the terms: -6(3 + x) + -2(8 + -6x) = 5(x + -4) + 7 (3 * -6 + x * -6) + -2(8 + -6x) = 5(x + -4) + 7 (-18 + -6x) + -2(8 + -6x) = 5(x + -4) + 7 -18 + -6x + (8 * -2 + -6x * -2) = 5(x + -4) + 7 -18 + -6x + (-16 + 12x) = 5(x + -4) + 7 Reorder the terms: -18 + -16 + -6x + 12x = 5(x + -4) + 7 Combine like terms: -18 + -16 = -34 -34 + -6x + 12x = 5(x + -4) + 7 Combine like terms: -6x + 12x = 6x -34 + 6x = 5(x + -4) + 7 Reorder the terms: -34 + 6x = 5(-4 + x) + 7 -34 + 6x = (-4 * 5 + x * 5) + 7 -34 + 6x = (-20 + 5x) + 7 Reorder the terms: -34 + 6x = -20 + 7 + 5x Combine like terms: -20 + 7 = -13 -34 + 6x = -13 + 5x Solving -34 + 6x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -34 + 6x + -5x = -13 + 5x + -5x Combine like terms: 6x + -5x = 1x -34 + 1x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 1x = -13 + 0 -34 + 1x = -13 Add '34' to each side of the equation. -34 + 34 + 1x = -13 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = -13 + 34 1x = -13 + 34 Combine like terms: -13 + 34 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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