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Simplifying 3(2x + 4) + -4x = 5(3x + 20) Reorder the terms: 3(4 + 2x) + -4x = 5(3x + 20) (4 * 3 + 2x * 3) + -4x = 5(3x + 20) (12 + 6x) + -4x = 5(3x + 20) Combine like terms: 6x + -4x = 2x 12 + 2x = 5(3x + 20) Reorder the terms: 12 + 2x = 5(20 + 3x) 12 + 2x = (20 * 5 + 3x * 5) 12 + 2x = (100 + 15x) Solving 12 + 2x = 100 + 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 + 2x + -15x = 100 + 15x + -15x Combine like terms: 2x + -15x = -13x 12 + -13x = 100 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -13x = 100 + 0 12 + -13x = 100 Add '-12' to each side of the equation. 12 + -12 + -13x = 100 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = 100 + -12 -13x = 100 + -12 Combine like terms: 100 + -12 = 88 -13x = 88 Divide each side by '-13'. x = -6.769230769 Simplifying x = -6.769230769
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