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Simplifying 3(5x + 1) = 2x + -10 Reorder the terms: 3(1 + 5x) = 2x + -10 (1 * 3 + 5x * 3) = 2x + -10 (3 + 15x) = 2x + -10 Reorder the terms: 3 + 15x = -10 + 2x Solving 3 + 15x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 15x + -2x = -10 + 2x + -2x Combine like terms: 15x + -2x = 13x 3 + 13x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 13x = -10 + 0 3 + 13x = -10 Add '-3' to each side of the equation. 3 + -3 + 13x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = -10 + -3 13x = -10 + -3 Combine like terms: -10 + -3 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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