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Simplifying 5(3x + 1) + -3(x + -2) = 10 + 5x Reorder the terms: 5(1 + 3x) + -3(x + -2) = 10 + 5x (1 * 5 + 3x * 5) + -3(x + -2) = 10 + 5x (5 + 15x) + -3(x + -2) = 10 + 5x Reorder the terms: 5 + 15x + -3(-2 + x) = 10 + 5x 5 + 15x + (-2 * -3 + x * -3) = 10 + 5x 5 + 15x + (6 + -3x) = 10 + 5x Reorder the terms: 5 + 6 + 15x + -3x = 10 + 5x Combine like terms: 5 + 6 = 11 11 + 15x + -3x = 10 + 5x Combine like terms: 15x + -3x = 12x 11 + 12x = 10 + 5x Solving 11 + 12x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + 12x + -5x = 10 + 5x + -5x Combine like terms: 12x + -5x = 7x 11 + 7x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 7x = 10 + 0 11 + 7x = 10 Add '-11' to each side of the equation. 11 + -11 + 7x = 10 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 10 + -11 7x = 10 + -11 Combine like terms: 10 + -11 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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