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Simplifying 6(2x + -3) = 5(2 + -1x) + -13 Reorder the terms: 6(-3 + 2x) = 5(2 + -1x) + -13 (-3 * 6 + 2x * 6) = 5(2 + -1x) + -13 (-18 + 12x) = 5(2 + -1x) + -13 -18 + 12x = (2 * 5 + -1x * 5) + -13 -18 + 12x = (10 + -5x) + -13 Reorder the terms: -18 + 12x = 10 + -13 + -5x Combine like terms: 10 + -13 = -3 -18 + 12x = -3 + -5x Solving -18 + 12x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -18 + 12x + 5x = -3 + -5x + 5x Combine like terms: 12x + 5x = 17x -18 + 17x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 17x = -3 + 0 -18 + 17x = -3 Add '18' to each side of the equation. -18 + 18 + 17x = -3 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = -3 + 18 17x = -3 + 18 Combine like terms: -3 + 18 = 15 17x = 15 Divide each side by '17'. x = 0.8823529412 Simplifying x = 0.8823529412
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