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Simplifying 5(2x + 3) = 4(3x + 1) Reorder the terms: 5(3 + 2x) = 4(3x + 1) (3 * 5 + 2x * 5) = 4(3x + 1) (15 + 10x) = 4(3x + 1) Reorder the terms: 15 + 10x = 4(1 + 3x) 15 + 10x = (1 * 4 + 3x * 4) 15 + 10x = (4 + 12x) Solving 15 + 10x = 4 + 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 = 4 + 12x + -12x Combine like terms: 10x + -12x = -2x 15 + -2x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -2x = 4 + 0 15 + -2x = 4 Add '-15' to each side of the equation. 15 + -15 + -2x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 4 + -15 -2x = 4 + -15 Combine like terms: 4 + -15 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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