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Simplifying 2[x + 5] + -7 = 3[x + -2] Reorder the terms: 2[5 + x] + -7 = 3[x + -2] [5 * 2 + x * 2] + -7 = 3[x + -2] [10 + 2x] + -7 = 3[x + -2] Reorder the terms: 10 + -7 + 2x = 3[x + -2] Combine like terms: 10 + -7 = 3 3 + 2x = 3[x + -2] Reorder the terms: 3 + 2x = 3[-2 + x] 3 + 2x = [-2 * 3 + x * 3] 3 + 2x = [-6 + 3x] Solving 3 + 2x = -6 + 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. 3 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 3 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -1x = -6 + 0 3 + -1x = -6 Add '-3' to each side of the equation. 3 + -3 + -1x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -6 + -3 -1x = -6 + -3 Combine like terms: -6 + -3 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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