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Simplifying 3(5x + -2) + 9 = 10x + -2 Reorder the terms: 3(-2 + 5x) + 9 = 10x + -2 (-2 * 3 + 5x * 3) + 9 = 10x + -2 (-6 + 15x) + 9 = 10x + -2 Reorder the terms: -6 + 9 + 15x = 10x + -2 Combine like terms: -6 + 9 = 3 3 + 15x = 10x + -2 Reorder the terms: 3 + 15x = -2 + 10x Solving 3 + 15x = -2 + 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 + 15x + -10x = -2 + 10x + -10x Combine like terms: 15x + -10x = 5x 3 + 5x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + 5x = -2 + 0 3 + 5x = -2 Add '-3' to each side of the equation. 3 + -3 + 5x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = -2 + -3 5x = -2 + -3 Combine like terms: -2 + -3 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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