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Simplifying 5(x + 7) = 3[x + -1(9 + -1x)] Reorder the terms: 5(7 + x) = 3[x + -1(9 + -1x)] (7 * 5 + x * 5) = 3[x + -1(9 + -1x)] (35 + 5x) = 3[x + -1(9 + -1x)] 35 + 5x = 3[x + (9 * -1 + -1x * -1)] 35 + 5x = 3[x + (-9 + 1x)] Reorder the terms: 35 + 5x = 3[-9 + x + 1x] Combine like terms: x + 1x = 2x 35 + 5x = 3[-9 + 2x] 35 + 5x = [-9 * 3 + 2x * 3] 35 + 5x = [-27 + 6x] Solving 35 + 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. 35 + 5x + -6x = -27 + 6x + -6x Combine like terms: 5x + -6x = -1x 35 + -1x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -1x = -27 + 0 35 + -1x = -27 Add '-35' to each side of the equation. 35 + -35 + -1x = -27 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = -27 + -35 -1x = -27 + -35 Combine like terms: -27 + -35 = -62 -1x = -62 Divide each side by '-1'. x = 62 Simplifying x = 62
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