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Simplifying 3(2x + 4) = 5(3x + -7) Reorder the terms: 3(4 + 2x) = 5(3x + -7) (4 * 3 + 2x * 3) = 5(3x + -7) (12 + 6x) = 5(3x + -7) Reorder the terms: 12 + 6x = 5(-7 + 3x) 12 + 6x = (-7 * 5 + 3x * 5) 12 + 6x = (-35 + 15x) Solving 12 + 6x = -35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + 6x + -15x = -35 + 15x + -15x Combine like terms: 6x + -15x = -9x 12 + -9x = -35 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -9x = -35 + 0 12 + -9x = -35 Add '-12' to each side of the equation. 12 + -12 + -9x = -35 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -35 + -12 -9x = -35 + -12 Combine like terms: -35 + -12 = -47 -9x = -47 Divide each side by '-9'. x = 5.222222222 Simplifying x = 5.222222222
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