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Simplifying 3(2x + 5) = 4 + -2(x + -3) Reorder the terms: 3(5 + 2x) = 4 + -2(x + -3) (5 * 3 + 2x * 3) = 4 + -2(x + -3) (15 + 6x) = 4 + -2(x + -3) Reorder the terms: 15 + 6x = 4 + -2(-3 + x) 15 + 6x = 4 + (-3 * -2 + x * -2) 15 + 6x = 4 + (6 + -2x) Combine like terms: 4 + 6 = 10 15 + 6x = 10 + -2x Solving 15 + 6x = 10 + -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. 15 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x 15 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 8x = 10 + 0 15 + 8x = 10 Add '-15' to each side of the equation. 15 + -15 + 8x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 10 + -15 8x = 10 + -15 Combine like terms: 10 + -15 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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