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Simplifying 2[2 + -3x] = 3[3 + x] + 4 [2 * 2 + -3x * 2] = 3[3 + x] + 4 [4 + -6x] = 3[3 + x] + 4 4 + -6x = [3 * 3 + x * 3] + 4 4 + -6x = [9 + 3x] + 4 Reorder the terms: 4 + -6x = 9 + 4 + 3x Combine like terms: 9 + 4 = 13 4 + -6x = 13 + 3x Solving 4 + -6x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -6x + -3x = 13 + 3x + -3x Combine like terms: -6x + -3x = -9x 4 + -9x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -9x = 13 + 0 4 + -9x = 13 Add '-4' to each side of the equation. 4 + -4 + -9x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 13 + -4 -9x = 13 + -4 Combine like terms: 13 + -4 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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