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Simplifying 2(3x + 1) + -5(x + -3) = 5 + -1x Reorder the terms: 2(1 + 3x) + -5(x + -3) = 5 + -1x (1 * 2 + 3x * 2) + -5(x + -3) = 5 + -1x (2 + 6x) + -5(x + -3) = 5 + -1x Reorder the terms: 2 + 6x + -5(-3 + x) = 5 + -1x 2 + 6x + (-3 * -5 + x * -5) = 5 + -1x 2 + 6x + (15 + -5x) = 5 + -1x Reorder the terms: 2 + 15 + 6x + -5x = 5 + -1x Combine like terms: 2 + 15 = 17 17 + 6x + -5x = 5 + -1x Combine like terms: 6x + -5x = 1x 17 + 1x = 5 + -1x Solving 17 + 1x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 17 + 1x + x = 5 + -1x + x Combine like terms: 1x + x = 2x 17 + 2x = 5 + -1x + x Combine like terms: -1x + x = 0 17 + 2x = 5 + 0 17 + 2x = 5 Add '-17' to each side of the equation. 17 + -17 + 2x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 5 + -17 2x = 5 + -17 Combine like terms: 5 + -17 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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