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Simplifying 5(2x + 3) = 3(4 + 1) + -2(3x + 2) Reorder the terms: 5(3 + 2x) = 3(4 + 1) + -2(3x + 2) (3 * 5 + 2x * 5) = 3(4 + 1) + -2(3x + 2) (15 + 10x) = 3(4 + 1) + -2(3x + 2) Combine like terms: 4 + 1 = 5 15 + 10x = 3(5) + -2(3x + 2) Multiply 3 * 5 15 + 10x = 15 + -2(3x + 2) Reorder the terms: 15 + 10x = 15 + -2(2 + 3x) 15 + 10x = 15 + (2 * -2 + 3x * -2) 15 + 10x = 15 + (-4 + -6x) Combine like terms: 15 + -4 = 11 15 + 10x = 11 + -6x Solving 15 + 10x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 10x + 6x = 11 + -6x + 6x Combine like terms: 10x + 6x = 16x 15 + 16x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 16x = 11 + 0 15 + 16x = 11 Add '-15' to each side of the equation. 15 + -15 + 16x = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 16x = 11 + -15 16x = 11 + -15 Combine like terms: 11 + -15 = -4 16x = -4 Divide each side by '16'. x = -0.25 Simplifying x = -0.25
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