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Simplifying 5(2x + 3) = 3(4x + 1) + -2(3 + 2) Reorder the terms: 5(3 + 2x) = 3(4x + 1) + -2(3 + 2) (3 * 5 + 2x * 5) = 3(4x + 1) + -2(3 + 2) (15 + 10x) = 3(4x + 1) + -2(3 + 2) Reorder the terms: 15 + 10x = 3(1 + 4x) + -2(3 + 2) 15 + 10x = (1 * 3 + 4x * 3) + -2(3 + 2) 15 + 10x = (3 + 12x) + -2(3 + 2) Combine like terms: 3 + 2 = 5 15 + 10x = 3 + 12x + -2(5) Multiply -2 * 5 15 + 10x = 3 + 12x + -10 Reorder the terms: 15 + 10x = 3 + -10 + 12x Combine like terms: 3 + -10 = -7 15 + 10x = -7 + 12x Solving 15 + 10x = -7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 10x + -12x = -7 + 12x + -12x Combine like terms: 10x + -12x = -2x 15 + -2x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -2x = -7 + 0 15 + -2x = -7 Add '-15' to each side of the equation. 15 + -15 + -2x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -7 + -15 -2x = -7 + -15 Combine like terms: -7 + -15 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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