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Simplifying 5(3x + 4) = 3x(4 + 6) Reorder the terms: 5(4 + 3x) = 3x(4 + 6) (4 * 5 + 3x * 5) = 3x(4 + 6) (20 + 15x) = 3x(4 + 6) Combine like terms: 4 + 6 = 10 20 + 15x = 3x(10) Reorder the terms for easier multiplication: 20 + 15x = 3 * 10x Multiply 3 * 10 20 + 15x = 30x Solving 20 + 15x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 20 + 15x + -30x = 30x + -30x Combine like terms: 15x + -30x = -15x 20 + -15x = 30x + -30x Combine like terms: 30x + -30x = 0 20 + -15x = 0 Add '-20' to each side of the equation. 20 + -20 + -15x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -15x = 0 + -20 -15x = 0 + -20 Combine like terms: 0 + -20 = -20 -15x = -20 Divide each side by '-15'. x = 1.333333333 Simplifying x = 1.333333333
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