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Simplifying -6(x + -6) + -2(-7x + -8) = 7(x + 8) + -1 Reorder the terms: -6(-6 + x) + -2(-7x + -8) = 7(x + 8) + -1 (-6 * -6 + x * -6) + -2(-7x + -8) = 7(x + 8) + -1 (36 + -6x) + -2(-7x + -8) = 7(x + 8) + -1 Reorder the terms: 36 + -6x + -2(-8 + -7x) = 7(x + 8) + -1 36 + -6x + (-8 * -2 + -7x * -2) = 7(x + 8) + -1 36 + -6x + (16 + 14x) = 7(x + 8) + -1 Reorder the terms: 36 + 16 + -6x + 14x = 7(x + 8) + -1 Combine like terms: 36 + 16 = 52 52 + -6x + 14x = 7(x + 8) + -1 Combine like terms: -6x + 14x = 8x 52 + 8x = 7(x + 8) + -1 Reorder the terms: 52 + 8x = 7(8 + x) + -1 52 + 8x = (8 * 7 + x * 7) + -1 52 + 8x = (56 + 7x) + -1 Reorder the terms: 52 + 8x = 56 + -1 + 7x Combine like terms: 56 + -1 = 55 52 + 8x = 55 + 7x Solving 52 + 8x = 55 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 52 + 8x + -7x = 55 + 7x + -7x Combine like terms: 8x + -7x = 1x 52 + 1x = 55 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + 1x = 55 + 0 52 + 1x = 55 Add '-52' to each side of the equation. 52 + -52 + 1x = 55 + -52 Combine like terms: 52 + -52 = 0 0 + 1x = 55 + -52 1x = 55 + -52 Combine like terms: 55 + -52 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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