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Simplifying 13 = 5(x + 3) + -7x Reorder the terms: 13 = 5(3 + x) + -7x 13 = (3 * 5 + x * 5) + -7x 13 = (15 + 5x) + -7x Combine like terms: 5x + -7x = -2x 13 = 15 + -2x Solving 13 = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 2x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 2x = 15 + 0 13 + 2x = 15 Add '-13' to each side of the equation. 13 + -13 + 2x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 15 + -13 2x = 15 + -13 Combine like terms: 15 + -13 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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