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Simplifying 3 + 3(3x + -5) = 5 + -5(2x + 1) Reorder the terms: 3 + 3(-5 + 3x) = 5 + -5(2x + 1) 3 + (-5 * 3 + 3x * 3) = 5 + -5(2x + 1) 3 + (-15 + 9x) = 5 + -5(2x + 1) Combine like terms: 3 + -15 = -12 -12 + 9x = 5 + -5(2x + 1) Reorder the terms: -12 + 9x = 5 + -5(1 + 2x) -12 + 9x = 5 + (1 * -5 + 2x * -5) -12 + 9x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -12 + 9x = 0 + -10x -12 + 9x = -10x Solving -12 + 9x = -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. -12 + 9x + 10x = -10x + 10x Combine like terms: 9x + 10x = 19x -12 + 19x = -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 19x = 0 Add '12' to each side of the equation. -12 + 12 + 19x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 19x = 0 + 12 19x = 0 + 12 Combine like terms: 0 + 12 = 12 19x = 12 Divide each side by '19'. x = 0.6315789474 Simplifying x = 0.6315789474
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