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Simplifying 9 + -3(2x + -7) + -9x = 5x + -2[6x + -1(4 + -1x) + -20] Reorder the terms: 9 + -3(-7 + 2x) + -9x = 5x + -2[6x + -1(4 + -1x) + -20] 9 + (-7 * -3 + 2x * -3) + -9x = 5x + -2[6x + -1(4 + -1x) + -20] 9 + (21 + -6x) + -9x = 5x + -2[6x + -1(4 + -1x) + -20] Combine like terms: 9 + 21 = 30 30 + -6x + -9x = 5x + -2[6x + -1(4 + -1x) + -20] Combine like terms: -6x + -9x = -15x 30 + -15x = 5x + -2[6x + -1(4 + -1x) + -20] 30 + -15x = 5x + -2[6x + (4 * -1 + -1x * -1) + -20] 30 + -15x = 5x + -2[6x + (-4 + 1x) + -20] Reorder the terms: 30 + -15x = 5x + -2[-4 + -20 + 6x + 1x] Combine like terms: -4 + -20 = -24 30 + -15x = 5x + -2[-24 + 6x + 1x] Combine like terms: 6x + 1x = 7x 30 + -15x = 5x + -2[-24 + 7x] 30 + -15x = 5x + [-24 * -2 + 7x * -2] 30 + -15x = 5x + [48 + -14x] Reorder the terms: 30 + -15x = 48 + 5x + -14x Combine like terms: 5x + -14x = -9x 30 + -15x = 48 + -9x Solving 30 + -15x = 48 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 30 + -15x + 9x = 48 + -9x + 9x Combine like terms: -15x + 9x = -6x 30 + -6x = 48 + -9x + 9x Combine like terms: -9x + 9x = 0 30 + -6x = 48 + 0 30 + -6x = 48 Add '-30' to each side of the equation. 30 + -30 + -6x = 48 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 48 + -30 -6x = 48 + -30 Combine like terms: 48 + -30 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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