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Simplifying 5(x + 3) = 13x + -5 Reorder the terms: 5(3 + x) = 13x + -5 (3 * 5 + x * 5) = 13x + -5 (15 + 5x) = 13x + -5 Reorder the terms: 15 + 5x = -5 + 13x Solving 15 + 5x = -5 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 15 + 5x + -13x = -5 + 13x + -13x Combine like terms: 5x + -13x = -8x 15 + -8x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 15 + -8x = -5 + 0 15 + -8x = -5 Add '-15' to each side of the equation. 15 + -15 + -8x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -5 + -15 -8x = -5 + -15 Combine like terms: -5 + -15 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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