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Simplifying -6(x + -3) = 8(-1x + 7) Reorder the terms: -6(-3 + x) = 8(-1x + 7) (-3 * -6 + x * -6) = 8(-1x + 7) (18 + -6x) = 8(-1x + 7) Reorder the terms: 18 + -6x = 8(7 + -1x) 18 + -6x = (7 * 8 + -1x * 8) 18 + -6x = (56 + -8x) Solving 18 + -6x = 56 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + -6x + 8x = 56 + -8x + 8x Combine like terms: -6x + 8x = 2x 18 + 2x = 56 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 2x = 56 + 0 18 + 2x = 56 Add '-18' to each side of the equation. 18 + -18 + 2x = 56 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 56 + -18 2x = 56 + -18 Combine like terms: 56 + -18 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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