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Simplifying 5(x + 3) + -2 = 3x + 13 Reorder the terms: 5(3 + x) + -2 = 3x + 13 (3 * 5 + x * 5) + -2 = 3x + 13 (15 + 5x) + -2 = 3x + 13 Reorder the terms: 15 + -2 + 5x = 3x + 13 Combine like terms: 15 + -2 = 13 13 + 5x = 3x + 13 Reorder the terms: 13 + 5x = 13 + 3x Add '-13' to each side of the equation. 13 + -13 + 5x = 13 + -13 + 3x Combine like terms: 13 + -13 = 0 0 + 5x = 13 + -13 + 3x 5x = 13 + -13 + 3x Combine like terms: 13 + -13 = 0 5x = 0 + 3x 5x = 3x Solving 5x = 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. 5x + -3x = 3x + -3x Combine like terms: 5x + -3x = 2x 2x = 3x + -3x Combine like terms: 3x + -3x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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