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Simplifying 5(x + 9) = 3[x + -1(8 + -1x)] Reorder the terms: 5(9 + x) = 3[x + -1(8 + -1x)] (9 * 5 + x * 5) = 3[x + -1(8 + -1x)] (45 + 5x) = 3[x + -1(8 + -1x)] 45 + 5x = 3[x + (8 * -1 + -1x * -1)] 45 + 5x = 3[x + (-8 + 1x)] Reorder the terms: 45 + 5x = 3[-8 + x + 1x] Combine like terms: x + 1x = 2x 45 + 5x = 3[-8 + 2x] 45 + 5x = [-8 * 3 + 2x * 3] 45 + 5x = [-24 + 6x] Solving 45 + 5x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 5x + -6x = -24 + 6x + -6x Combine like terms: 5x + -6x = -1x 45 + -1x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -1x = -24 + 0 45 + -1x = -24 Add '-45' to each side of the equation. 45 + -45 + -1x = -24 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = -24 + -45 -1x = -24 + -45 Combine like terms: -24 + -45 = -69 -1x = -69 Divide each side by '-1'. x = 69 Simplifying x = 69
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