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Simplifying 2(x + 7) + -3(5x + -2) = 5 Reorder the terms: 2(7 + x) + -3(5x + -2) = 5 (7 * 2 + x * 2) + -3(5x + -2) = 5 (14 + 2x) + -3(5x + -2) = 5 Reorder the terms: 14 + 2x + -3(-2 + 5x) = 5 14 + 2x + (-2 * -3 + 5x * -3) = 5 14 + 2x + (6 + -15x) = 5 Reorder the terms: 14 + 6 + 2x + -15x = 5 Combine like terms: 14 + 6 = 20 20 + 2x + -15x = 5 Combine like terms: 2x + -15x = -13x 20 + -13x = 5 Solving 20 + -13x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -13x = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = 5 + -20 -13x = 5 + -20 Combine like terms: 5 + -20 = -15 -13x = -15 Divide each side by '-13'. x = 1.153846154 Simplifying x = 1.153846154
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