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Simplifying 6x + -2(x + -9) = 5(2x + 1) Reorder the terms: 6x + -2(-9 + x) = 5(2x + 1) 6x + (-9 * -2 + x * -2) = 5(2x + 1) 6x + (18 + -2x) = 5(2x + 1) Reorder the terms: 18 + 6x + -2x = 5(2x + 1) Combine like terms: 6x + -2x = 4x 18 + 4x = 5(2x + 1) Reorder the terms: 18 + 4x = 5(1 + 2x) 18 + 4x = (1 * 5 + 2x * 5) 18 + 4x = (5 + 10x) Solving 18 + 4x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 4x + -10x = 5 + 10x + -10x Combine like terms: 4x + -10x = -6x 18 + -6x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -6x = 5 + 0 18 + -6x = 5 Add '-18' to each side of the equation. 18 + -18 + -6x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 5 + -18 -6x = 5 + -18 Combine like terms: 5 + -18 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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