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Simplifying 5(x + 8) = 13x + -4 Reorder the terms: 5(8 + x) = 13x + -4 (8 * 5 + x * 5) = 13x + -4 (40 + 5x) = 13x + -4 Reorder the terms: 40 + 5x = -4 + 13x Solving 40 + 5x = -4 + 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 + 5x + -13x = -4 + 13x + -13x Combine like terms: 5x + -13x = -8x 40 + -8x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 40 + -8x = -4 + 0 40 + -8x = -4 Add '-40' to each side of the equation. 40 + -40 + -8x = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -4 + -40 -8x = -4 + -40 Combine like terms: -4 + -40 = -44 -8x = -44 Divide each side by '-8'. x = 5.5 Simplifying x = 5.5
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