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Simplifying 5(2x + 3) = 3(4x + 1) + -2(3x + 2x) Reorder the terms: 5(3 + 2x) = 3(4x + 1) + -2(3x + 2x) (3 * 5 + 2x * 5) = 3(4x + 1) + -2(3x + 2x) (15 + 10x) = 3(4x + 1) + -2(3x + 2x) Reorder the terms: 15 + 10x = 3(1 + 4x) + -2(3x + 2x) 15 + 10x = (1 * 3 + 4x * 3) + -2(3x + 2x) 15 + 10x = (3 + 12x) + -2(3x + 2x) Combine like terms: 3x + 2x = 5x 15 + 10x = 3 + 12x + -2(5x) Remove parenthesis around (5x) 15 + 10x = 3 + 12x + -2 * 5x Multiply -2 * 5 15 + 10x = 3 + 12x + -10x Combine like terms: 12x + -10x = 2x 15 + 10x = 3 + 2x Solving 15 + 10x = 3 + 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 + 10x + -2x = 3 + 2x + -2x Combine like terms: 10x + -2x = 8x 15 + 8x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 8x = 3 + 0 15 + 8x = 3 Add '-15' to each side of the equation. 15 + -15 + 8x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 3 + -15 8x = 3 + -15 Combine like terms: 3 + -15 = -12 8x = -12 Divide each side by '8'. x = -1.5 Simplifying x = -1.5
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