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Simplifying 3(5x + -2) + 37 = 10x + -4 Reorder the terms: 3(-2 + 5x) + 37 = 10x + -4 (-2 * 3 + 5x * 3) + 37 = 10x + -4 (-6 + 15x) + 37 = 10x + -4 Reorder the terms: -6 + 37 + 15x = 10x + -4 Combine like terms: -6 + 37 = 31 31 + 15x = 10x + -4 Reorder the terms: 31 + 15x = -4 + 10x Solving 31 + 15x = -4 + 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. 31 + 15x + -10x = -4 + 10x + -10x Combine like terms: 15x + -10x = 5x 31 + 5x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 31 + 5x = -4 + 0 31 + 5x = -4 Add '-31' to each side of the equation. 31 + -31 + 5x = -4 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = -4 + -31 5x = -4 + -31 Combine like terms: -4 + -31 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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