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Simplifying 5(x + 4) = 3[x + -1(9 + -1x)] Reorder the terms: 5(4 + x) = 3[x + -1(9 + -1x)] (4 * 5 + x * 5) = 3[x + -1(9 + -1x)] (20 + 5x) = 3[x + -1(9 + -1x)] 20 + 5x = 3[x + (9 * -1 + -1x * -1)] 20 + 5x = 3[x + (-9 + 1x)] Reorder the terms: 20 + 5x = 3[-9 + x + 1x] Combine like terms: x + 1x = 2x 20 + 5x = 3[-9 + 2x] 20 + 5x = [-9 * 3 + 2x * 3] 20 + 5x = [-27 + 6x] Solving 20 + 5x = -27 + 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. 20 + 5x + -6x = -27 + 6x + -6x Combine like terms: 5x + -6x = -1x 20 + -1x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -1x = -27 + 0 20 + -1x = -27 Add '-20' to each side of the equation. 20 + -20 + -1x = -27 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = -27 + -20 -1x = -27 + -20 Combine like terms: -27 + -20 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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