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Simplifying 3(2x + -7) + -7(x + -8) = x + -7 + -6 + 4x Reorder the terms: 3(-7 + 2x) + -7(x + -8) = x + -7 + -6 + 4x (-7 * 3 + 2x * 3) + -7(x + -8) = x + -7 + -6 + 4x (-21 + 6x) + -7(x + -8) = x + -7 + -6 + 4x Reorder the terms: -21 + 6x + -7(-8 + x) = x + -7 + -6 + 4x -21 + 6x + (-8 * -7 + x * -7) = x + -7 + -6 + 4x -21 + 6x + (56 + -7x) = x + -7 + -6 + 4x Reorder the terms: -21 + 56 + 6x + -7x = x + -7 + -6 + 4x Combine like terms: -21 + 56 = 35 35 + 6x + -7x = x + -7 + -6 + 4x Combine like terms: 6x + -7x = -1x 35 + -1x = x + -7 + -6 + 4x Reorder the terms: 35 + -1x = -7 + -6 + x + 4x Combine like terms: -7 + -6 = -13 35 + -1x = -13 + x + 4x Combine like terms: x + 4x = 5x 35 + -1x = -13 + 5x Solving 35 + -1x = -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. 35 + -1x + -5x = -13 + 5x + -5x Combine like terms: -1x + -5x = -6x 35 + -6x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -6x = -13 + 0 35 + -6x = -13 Add '-35' to each side of the equation. 35 + -35 + -6x = -13 + -35 Combine like terms: 35 + -35 = 0 0 + -6x = -13 + -35 -6x = -13 + -35 Combine like terms: -13 + -35 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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