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Simplifying 18 = 5(3x + -2) + 7(x + 1) Reorder the terms: 18 = 5(-2 + 3x) + 7(x + 1) 18 = (-2 * 5 + 3x * 5) + 7(x + 1) 18 = (-10 + 15x) + 7(x + 1) Reorder the terms: 18 = -10 + 15x + 7(1 + x) 18 = -10 + 15x + (1 * 7 + x * 7) 18 = -10 + 15x + (7 + 7x) Reorder the terms: 18 = -10 + 7 + 15x + 7x Combine like terms: -10 + 7 = -3 18 = -3 + 15x + 7x Combine like terms: 15x + 7x = 22x 18 = -3 + 22x Solving 18 = -3 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 18 + -22x = -3 + 22x + -22x Combine like terms: 22x + -22x = 0 18 + -22x = -3 + 0 18 + -22x = -3 Add '-18' to each side of the equation. 18 + -18 + -22x = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -22x = -3 + -18 -22x = -3 + -18 Combine like terms: -3 + -18 = -21 -22x = -21 Divide each side by '-22'. x = 0.9545454545 Simplifying x = 0.9545454545
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