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Simplifying -3(3x + -1) + 9x = 5 + 2(5x + -3) Reorder the terms: -3(-1 + 3x) + 9x = 5 + 2(5x + -3) (-1 * -3 + 3x * -3) + 9x = 5 + 2(5x + -3) (3 + -9x) + 9x = 5 + 2(5x + -3) Combine like terms: -9x + 9x = 0 3 + 0 = 5 + 2(5x + -3) 3 = 5 + 2(5x + -3) Reorder the terms: 3 = 5 + 2(-3 + 5x) 3 = 5 + (-3 * 2 + 5x * 2) 3 = 5 + (-6 + 10x) Combine like terms: 5 + -6 = -1 3 = -1 + 10x Solving 3 = -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. 3 + -10x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -10x = -1 + 0 3 + -10x = -1 Add '-3' to each side of the equation. 3 + -3 + -10x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = -1 + -3 -10x = -1 + -3 Combine like terms: -1 + -3 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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