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Simplifying -2(3x + -5) + 5x = 8 + 3(3x + -2) Reorder the terms: -2(-5 + 3x) + 5x = 8 + 3(3x + -2) (-5 * -2 + 3x * -2) + 5x = 8 + 3(3x + -2) (10 + -6x) + 5x = 8 + 3(3x + -2) Combine like terms: -6x + 5x = -1x 10 + -1x = 8 + 3(3x + -2) Reorder the terms: 10 + -1x = 8 + 3(-2 + 3x) 10 + -1x = 8 + (-2 * 3 + 3x * 3) 10 + -1x = 8 + (-6 + 9x) Combine like terms: 8 + -6 = 2 10 + -1x = 2 + 9x Solving 10 + -1x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + -1x + -9x = 2 + 9x + -9x Combine like terms: -1x + -9x = -10x 10 + -10x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -10x = 2 + 0 10 + -10x = 2 Add '-10' to each side of the equation. 10 + -10 + -10x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 2 + -10 -10x = 2 + -10 Combine like terms: 2 + -10 = -8 -10x = -8 Divide each side by '-10'. x = 0.8 Simplifying x = 0.8
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