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Simplifying 12 + -1(8 + -8x) + 13x = -10 + 18(x + 1) 12 + (8 * -1 + -8x * -1) + 13x = -10 + 18(x + 1) 12 + (-8 + 8x) + 13x = -10 + 18(x + 1) Combine like terms: 12 + -8 = 4 4 + 8x + 13x = -10 + 18(x + 1) Combine like terms: 8x + 13x = 21x 4 + 21x = -10 + 18(x + 1) Reorder the terms: 4 + 21x = -10 + 18(1 + x) 4 + 21x = -10 + (1 * 18 + x * 18) 4 + 21x = -10 + (18 + 18x) Combine like terms: -10 + 18 = 8 4 + 21x = 8 + 18x Solving 4 + 21x = 8 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4 + 21x + -18x = 8 + 18x + -18x Combine like terms: 21x + -18x = 3x 4 + 3x = 8 + 18x + -18x Combine like terms: 18x + -18x = 0 4 + 3x = 8 + 0 4 + 3x = 8 Add '-4' to each side of the equation. 4 + -4 + 3x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 8 + -4 3x = 8 + -4 Combine like terms: 8 + -4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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