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Simplifying 5(x + 4) = -8x + 33 Reorder the terms: 5(4 + x) = -8x + 33 (4 * 5 + x * 5) = -8x + 33 (20 + 5x) = -8x + 33 Reorder the terms: 20 + 5x = 33 + -8x Solving 20 + 5x = 33 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + 5x + 8x = 33 + -8x + 8x Combine like terms: 5x + 8x = 13x 20 + 13x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + 13x = 33 + 0 20 + 13x = 33 Add '-20' to each side of the equation. 20 + -20 + 13x = 33 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 33 + -20 13x = 33 + -20 Combine like terms: 33 + -20 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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