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Simplifying 8(x + 5) = 13x + -5 Reorder the terms: 8(5 + x) = 13x + -5 (5 * 8 + x * 8) = 13x + -5 (40 + 8x) = 13x + -5 Reorder the terms: 40 + 8x = -5 + 13x Solving 40 + 8x = -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. 40 + 8x + -13x = -5 + 13x + -13x Combine like terms: 8x + -13x = -5x 40 + -5x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 40 + -5x = -5 + 0 40 + -5x = -5 Add '-40' to each side of the equation. 40 + -40 + -5x = -5 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = -5 + -40 -5x = -5 + -40 Combine like terms: -5 + -40 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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