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Simplifying 5(3x + 1) = 2x + -7 Reorder the terms: 5(1 + 3x) = 2x + -7 (1 * 5 + 3x * 5) = 2x + -7 (5 + 15x) = 2x + -7 Reorder the terms: 5 + 15x = -7 + 2x Solving 5 + 15x = -7 + 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. 5 + 15x + -2x = -7 + 2x + -2x Combine like terms: 15x + -2x = 13x 5 + 13x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 13x = -7 + 0 5 + 13x = -7 Add '-5' to each side of the equation. 5 + -5 + 13x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = -7 + -5 13x = -7 + -5 Combine like terms: -7 + -5 = -12 13x = -12 Divide each side by '13'. x = -0.9230769231 Simplifying x = -0.9230769231
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