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Simplifying 18 + 5(3x + -2) = 2(7x + 1) Reorder the terms: 18 + 5(-2 + 3x) = 2(7x + 1) 18 + (-2 * 5 + 3x * 5) = 2(7x + 1) 18 + (-10 + 15x) = 2(7x + 1) Combine like terms: 18 + -10 = 8 8 + 15x = 2(7x + 1) Reorder the terms: 8 + 15x = 2(1 + 7x) 8 + 15x = (1 * 2 + 7x * 2) 8 + 15x = (2 + 14x) Solving 8 + 15x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 15x + -14x = 2 + 14x + -14x Combine like terms: 15x + -14x = 1x 8 + 1x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + 1x = 2 + 0 8 + 1x = 2 Add '-8' to each side of the equation. 8 + -8 + 1x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 2 + -8 1x = 2 + -8 Combine like terms: 2 + -8 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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