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Simplifying 5x + 13 = 3(2x + 5) Reorder the terms: 13 + 5x = 3(2x + 5) Reorder the terms: 13 + 5x = 3(5 + 2x) 13 + 5x = (5 * 3 + 2x * 3) 13 + 5x = (15 + 6x) Solving 13 + 5x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 5x + -6x = 15 + 6x + -6x Combine like terms: 5x + -6x = -1x 13 + -1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -1x = 15 + 0 13 + -1x = 15 Add '-13' to each side of the equation. 13 + -13 + -1x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 15 + -13 -1x = 15 + -13 Combine like terms: 15 + -13 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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