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Simplifying 5(3x + 7) = 5(6x + 4) Reorder the terms: 5(7 + 3x) = 5(6x + 4) (7 * 5 + 3x * 5) = 5(6x + 4) (35 + 15x) = 5(6x + 4) Reorder the terms: 35 + 15x = 5(4 + 6x) 35 + 15x = (4 * 5 + 6x * 5) 35 + 15x = (20 + 30x) Solving 35 + 15x = 20 + 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. 35 + 15x + -30x = 20 + 30x + -30x Combine like terms: 15x + -30x = -15x 35 + -15x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 35 + -15x = 20 + 0 35 + -15x = 20 Add '-35' to each side of the equation. 35 + -35 + -15x = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -15x = 20 + -35 -15x = 20 + -35 Combine like terms: 20 + -35 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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