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Simplifying 5(3 + 4x) + 4 = 6 + 7x (3 * 5 + 4x * 5) + 4 = 6 + 7x (15 + 20x) + 4 = 6 + 7x Reorder the terms: 15 + 4 + 20x = 6 + 7x Combine like terms: 15 + 4 = 19 19 + 20x = 6 + 7x Solving 19 + 20x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19 + 20x + -7x = 6 + 7x + -7x Combine like terms: 20x + -7x = 13x 19 + 13x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + 13x = 6 + 0 19 + 13x = 6 Add '-19' to each side of the equation. 19 + -19 + 13x = 6 + -19 Combine like terms: 19 + -19 = 0 0 + 13x = 6 + -19 13x = 6 + -19 Combine like terms: 6 + -19 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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