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Simplifying 9 + -3(2x + -7) + -9x = 5x + -2[6x + -1(4 + -1x) + -29] Reorder the terms: 9 + -3(-7 + 2x) + -9x = 5x + -2[6x + -1(4 + -1x) + -29] 9 + (-7 * -3 + 2x * -3) + -9x = 5x + -2[6x + -1(4 + -1x) + -29] 9 + (21 + -6x) + -9x = 5x + -2[6x + -1(4 + -1x) + -29] Combine like terms: 9 + 21 = 30 30 + -6x + -9x = 5x + -2[6x + -1(4 + -1x) + -29] Combine like terms: -6x + -9x = -15x 30 + -15x = 5x + -2[6x + -1(4 + -1x) + -29] 30 + -15x = 5x + -2[6x + (4 * -1 + -1x * -1) + -29] 30 + -15x = 5x + -2[6x + (-4 + 1x) + -29] Reorder the terms: 30 + -15x = 5x + -2[-4 + -29 + 6x + 1x] Combine like terms: -4 + -29 = -33 30 + -15x = 5x + -2[-33 + 6x + 1x] Combine like terms: 6x + 1x = 7x 30 + -15x = 5x + -2[-33 + 7x] 30 + -15x = 5x + [-33 * -2 + 7x * -2] 30 + -15x = 5x + [66 + -14x] Reorder the terms: 30 + -15x = 66 + 5x + -14x Combine like terms: 5x + -14x = -9x 30 + -15x = 66 + -9x Solving 30 + -15x = 66 + -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 = 66 + -9x + 9x Combine like terms: -15x + 9x = -6x 30 + -6x = 66 + -9x + 9x Combine like terms: -9x + 9x = 0 30 + -6x = 66 + 0 30 + -6x = 66 Add '-30' to each side of the equation. 30 + -30 + -6x = 66 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 66 + -30 -6x = 66 + -30 Combine like terms: 66 + -30 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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