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Simplifying -2[9x + -3] + 7x = 7[x + 2] Reorder the terms: -2[-3 + 9x] + 7x = 7[x + 2] [-3 * -2 + 9x * -2] + 7x = 7[x + 2] [6 + -18x] + 7x = 7[x + 2] Combine like terms: -18x + 7x = -11x 6 + -11x = 7[x + 2] Reorder the terms: 6 + -11x = 7[2 + x] 6 + -11x = [2 * 7 + x * 7] 6 + -11x = [14 + 7x] Solving 6 + -11x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -11x + -7x = 14 + 7x + -7x Combine like terms: -11x + -7x = -18x 6 + -18x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -18x = 14 + 0 6 + -18x = 14 Add '-6' to each side of the equation. 6 + -6 + -18x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 14 + -6 -18x = 14 + -6 Combine like terms: 14 + -6 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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