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Simplifying 7x + 13 + -7 = 5(4x + 6) Reorder the terms: 13 + -7 + 7x = 5(4x + 6) Combine like terms: 13 + -7 = 6 6 + 7x = 5(4x + 6) Reorder the terms: 6 + 7x = 5(6 + 4x) 6 + 7x = (6 * 5 + 4x * 5) 6 + 7x = (30 + 20x) Solving 6 + 7x = 30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 7x + -20x = 30 + 20x + -20x Combine like terms: 7x + -20x = -13x 6 + -13x = 30 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -13x = 30 + 0 6 + -13x = 30 Add '-6' to each side of the equation. 6 + -6 + -13x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 30 + -6 -13x = 30 + -6 Combine like terms: 30 + -6 = 24 -13x = 24 Divide each side by '-13'. x = -1.846153846 Simplifying x = -1.846153846
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