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Simplifying 8 + 3(3x + -6) = 6 + -5(2x + 1) Reorder the terms: 8 + 3(-6 + 3x) = 6 + -5(2x + 1) 8 + (-6 * 3 + 3x * 3) = 6 + -5(2x + 1) 8 + (-18 + 9x) = 6 + -5(2x + 1) Combine like terms: 8 + -18 = -10 -10 + 9x = 6 + -5(2x + 1) Reorder the terms: -10 + 9x = 6 + -5(1 + 2x) -10 + 9x = 6 + (1 * -5 + 2x * -5) -10 + 9x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -10 + 9x = 1 + -10x Solving -10 + 9x = 1 + -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. -10 + 9x + 10x = 1 + -10x + 10x Combine like terms: 9x + 10x = 19x -10 + 19x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 19x = 1 + 0 -10 + 19x = 1 Add '10' to each side of the equation. -10 + 10 + 19x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 19x = 1 + 10 19x = 1 + 10 Combine like terms: 1 + 10 = 11 19x = 11 Divide each side by '19'. x = 0.5789473684 Simplifying x = 0.5789473684
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