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Simplifying 9(x + 7) = 5[x + -1(8 + -1x)] Reorder the terms: 9(7 + x) = 5[x + -1(8 + -1x)] (7 * 9 + x * 9) = 5[x + -1(8 + -1x)] (63 + 9x) = 5[x + -1(8 + -1x)] 63 + 9x = 5[x + (8 * -1 + -1x * -1)] 63 + 9x = 5[x + (-8 + 1x)] Reorder the terms: 63 + 9x = 5[-8 + x + 1x] Combine like terms: x + 1x = 2x 63 + 9x = 5[-8 + 2x] 63 + 9x = [-8 * 5 + 2x * 5] 63 + 9x = [-40 + 10x] Solving 63 + 9x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 63 + 9x + -10x = -40 + 10x + -10x Combine like terms: 9x + -10x = -1x 63 + -1x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 63 + -1x = -40 + 0 63 + -1x = -40 Add '-63' to each side of the equation. 63 + -63 + -1x = -40 + -63 Combine like terms: 63 + -63 = 0 0 + -1x = -40 + -63 -1x = -40 + -63 Combine like terms: -40 + -63 = -103 -1x = -103 Divide each side by '-1'. x = 103 Simplifying x = 103
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