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Simplifying 3(5 + -6x) = 14x + -2(1 + 2x) + 2 (5 * 3 + -6x * 3) = 14x + -2(1 + 2x) + 2 (15 + -18x) = 14x + -2(1 + 2x) + 2 15 + -18x = 14x + (1 * -2 + 2x * -2) + 2 15 + -18x = 14x + (-2 + -4x) + 2 Reorder the terms: 15 + -18x = -2 + 2 + 14x + -4x Combine like terms: -2 + 2 = 0 15 + -18x = 0 + 14x + -4x 15 + -18x = 14x + -4x Combine like terms: 14x + -4x = 10x 15 + -18x = 10x Solving 15 + -18x = 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. 15 + -18x + -10x = 10x + -10x Combine like terms: -18x + -10x = -28x 15 + -28x = 10x + -10x Combine like terms: 10x + -10x = 0 15 + -28x = 0 Add '-15' to each side of the equation. 15 + -15 + -28x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -28x = 0 + -15 -28x = 0 + -15 Combine like terms: 0 + -15 = -15 -28x = -15 Divide each side by '-28'. x = 0.5357142857 Simplifying x = 0.5357142857
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