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Simplifying 6(3x + 1) = 5(4x + 3) Reorder the terms: 6(1 + 3x) = 5(4x + 3) (1 * 6 + 3x * 6) = 5(4x + 3) (6 + 18x) = 5(4x + 3) Reorder the terms: 6 + 18x = 5(3 + 4x) 6 + 18x = (3 * 5 + 4x * 5) 6 + 18x = (15 + 20x) Solving 6 + 18x = 15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 18x + -20x = 15 + 20x + -20x Combine like terms: 18x + -20x = -2x 6 + -2x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -2x = 15 + 0 6 + -2x = 15 Add '-6' to each side of the equation. 6 + -6 + -2x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 15 + -6 -2x = 15 + -6 Combine like terms: 15 + -6 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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