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Simplifying 13(4x + 2) + -9(6x + -1) = 18(10x + 7) Reorder the terms: 13(2 + 4x) + -9(6x + -1) = 18(10x + 7) (2 * 13 + 4x * 13) + -9(6x + -1) = 18(10x + 7) (26 + 52x) + -9(6x + -1) = 18(10x + 7) Reorder the terms: 26 + 52x + -9(-1 + 6x) = 18(10x + 7) 26 + 52x + (-1 * -9 + 6x * -9) = 18(10x + 7) 26 + 52x + (9 + -54x) = 18(10x + 7) Reorder the terms: 26 + 9 + 52x + -54x = 18(10x + 7) Combine like terms: 26 + 9 = 35 35 + 52x + -54x = 18(10x + 7) Combine like terms: 52x + -54x = -2x 35 + -2x = 18(10x + 7) Reorder the terms: 35 + -2x = 18(7 + 10x) 35 + -2x = (7 * 18 + 10x * 18) 35 + -2x = (126 + 180x) Solving 35 + -2x = 126 + 180x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180x' to each side of the equation. 35 + -2x + -180x = 126 + 180x + -180x Combine like terms: -2x + -180x = -182x 35 + -182x = 126 + 180x + -180x Combine like terms: 180x + -180x = 0 35 + -182x = 126 + 0 35 + -182x = 126 Add '-35' to each side of the equation. 35 + -35 + -182x = 126 + -35 Combine like terms: 35 + -35 = 0 0 + -182x = 126 + -35 -182x = 126 + -35 Combine like terms: 126 + -35 = 91 -182x = 91 Divide each side by '-182'. x = -0.5 Simplifying x = -0.5
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