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Simplifying 3(2x + 5) + -13 = 3x + 7 Reorder the terms: 3(5 + 2x) + -13 = 3x + 7 (5 * 3 + 2x * 3) + -13 = 3x + 7 (15 + 6x) + -13 = 3x + 7 Reorder the terms: 15 + -13 + 6x = 3x + 7 Combine like terms: 15 + -13 = 2 2 + 6x = 3x + 7 Reorder the terms: 2 + 6x = 7 + 3x Solving 2 + 6x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 6x + -3x = 7 + 3x + -3x Combine like terms: 6x + -3x = 3x 2 + 3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 3x = 7 + 0 2 + 3x = 7 Add '-2' to each side of the equation. 2 + -2 + 3x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 7 + -2 3x = 7 + -2 Combine like terms: 7 + -2 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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