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Simplifying 5(x + 1) = 9[x + -1(3 + -1x)] Reorder the terms: 5(1 + x) = 9[x + -1(3 + -1x)] (1 * 5 + x * 5) = 9[x + -1(3 + -1x)] (5 + 5x) = 9[x + -1(3 + -1x)] 5 + 5x = 9[x + (3 * -1 + -1x * -1)] 5 + 5x = 9[x + (-3 + 1x)] Reorder the terms: 5 + 5x = 9[-3 + x + 1x] Combine like terms: x + 1x = 2x 5 + 5x = 9[-3 + 2x] 5 + 5x = [-3 * 9 + 2x * 9] 5 + 5x = [-27 + 18x] Solving 5 + 5x = -27 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 5 + 5x + -18x = -27 + 18x + -18x Combine like terms: 5x + -18x = -13x 5 + -13x = -27 + 18x + -18x Combine like terms: 18x + -18x = 0 5 + -13x = -27 + 0 5 + -13x = -27 Add '-5' to each side of the equation. 5 + -5 + -13x = -27 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = -27 + -5 -13x = -27 + -5 Combine like terms: -27 + -5 = -32 -13x = -32 Divide each side by '-13'. x = 2.461538462 Simplifying x = 2.461538462
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