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Simplifying 3(5x + -2) + 7 = 10x + -8 Reorder the terms: 3(-2 + 5x) + 7 = 10x + -8 (-2 * 3 + 5x * 3) + 7 = 10x + -8 (-6 + 15x) + 7 = 10x + -8 Reorder the terms: -6 + 7 + 15x = 10x + -8 Combine like terms: -6 + 7 = 1 1 + 15x = 10x + -8 Reorder the terms: 1 + 15x = -8 + 10x Solving 1 + 15x = -8 + 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. 1 + 15x + -10x = -8 + 10x + -10x Combine like terms: 15x + -10x = 5x 1 + 5x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + 5x = -8 + 0 1 + 5x = -8 Add '-1' to each side of the equation. 1 + -1 + 5x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -8 + -1 5x = -8 + -1 Combine like terms: -8 + -1 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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