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Simplifying -1x + 7(x + 8) = 6x + -1(3x + 1) Reorder the terms: -1x + 7(8 + x) = 6x + -1(3x + 1) -1x + (8 * 7 + x * 7) = 6x + -1(3x + 1) -1x + (56 + 7x) = 6x + -1(3x + 1) Reorder the terms: 56 + -1x + 7x = 6x + -1(3x + 1) Combine like terms: -1x + 7x = 6x 56 + 6x = 6x + -1(3x + 1) Reorder the terms: 56 + 6x = 6x + -1(1 + 3x) 56 + 6x = 6x + (1 * -1 + 3x * -1) 56 + 6x = 6x + (-1 + -3x) Reorder the terms: 56 + 6x = -1 + 6x + -3x Combine like terms: 6x + -3x = 3x 56 + 6x = -1 + 3x Solving 56 + 6x = -1 + 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. 56 + 6x + -3x = -1 + 3x + -3x Combine like terms: 6x + -3x = 3x 56 + 3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 56 + 3x = -1 + 0 56 + 3x = -1 Add '-56' to each side of the equation. 56 + -56 + 3x = -1 + -56 Combine like terms: 56 + -56 = 0 0 + 3x = -1 + -56 3x = -1 + -56 Combine like terms: -1 + -56 = -57 3x = -57 Divide each side by '3'. x = -19 Simplifying x = -19
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