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Simplifying 3(2x + 5) = 4 + -1(x + 3) Reorder the terms: 3(5 + 2x) = 4 + -1(x + 3) (5 * 3 + 2x * 3) = 4 + -1(x + 3) (15 + 6x) = 4 + -1(x + 3) Reorder the terms: 15 + 6x = 4 + -1(3 + x) 15 + 6x = 4 + (3 * -1 + x * -1) 15 + 6x = 4 + (-3 + -1x) Combine like terms: 4 + -3 = 1 15 + 6x = 1 + -1x Solving 15 + 6x = 1 + -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. 15 + 6x + x = 1 + -1x + x Combine like terms: 6x + x = 7x 15 + 7x = 1 + -1x + x Combine like terms: -1x + x = 0 15 + 7x = 1 + 0 15 + 7x = 1 Add '-15' to each side of the equation. 15 + -15 + 7x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 1 + -15 7x = 1 + -15 Combine like terms: 1 + -15 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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