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Simplifying 6(x + 3) = 6 + 8(x + -1) Reorder the terms: 6(3 + x) = 6 + 8(x + -1) (3 * 6 + x * 6) = 6 + 8(x + -1) (18 + 6x) = 6 + 8(x + -1) Reorder the terms: 18 + 6x = 6 + 8(-1 + x) 18 + 6x = 6 + (-1 * 8 + x * 8) 18 + 6x = 6 + (-8 + 8x) Combine like terms: 6 + -8 = -2 18 + 6x = -2 + 8x Solving 18 + 6x = -2 + 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 = -2 + 8x + -8x Combine like terms: 6x + -8x = -2x 18 + -2x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -2x = -2 + 0 18 + -2x = -2 Add '-18' to each side of the equation. 18 + -18 + -2x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -2 + -18 -2x = -2 + -18 Combine like terms: -2 + -18 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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