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Simplifying 2 + 3(3x + -5) = 9 + -5(2x + 1) Reorder the terms: 2 + 3(-5 + 3x) = 9 + -5(2x + 1) 2 + (-5 * 3 + 3x * 3) = 9 + -5(2x + 1) 2 + (-15 + 9x) = 9 + -5(2x + 1) Combine like terms: 2 + -15 = -13 -13 + 9x = 9 + -5(2x + 1) Reorder the terms: -13 + 9x = 9 + -5(1 + 2x) -13 + 9x = 9 + (1 * -5 + 2x * -5) -13 + 9x = 9 + (-5 + -10x) Combine like terms: 9 + -5 = 4 -13 + 9x = 4 + -10x Solving -13 + 9x = 4 + -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. -13 + 9x + 10x = 4 + -10x + 10x Combine like terms: 9x + 10x = 19x -13 + 19x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -13 + 19x = 4 + 0 -13 + 19x = 4 Add '13' to each side of the equation. -13 + 13 + 19x = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 19x = 4 + 13 19x = 4 + 13 Combine like terms: 4 + 13 = 17 19x = 17 Divide each side by '19'. x = 0.8947368421 Simplifying x = 0.8947368421
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