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Simplifying -3[x + 2] = 2[x + 6] + 7 Reorder the terms: -3[2 + x] = 2[x + 6] + 7 [2 * -3 + x * -3] = 2[x + 6] + 7 [-6 + -3x] = 2[x + 6] + 7 Reorder the terms: -6 + -3x = 2[6 + x] + 7 -6 + -3x = [6 * 2 + x * 2] + 7 -6 + -3x = [12 + 2x] + 7 Reorder the terms: -6 + -3x = 12 + 7 + 2x Combine like terms: 12 + 7 = 19 -6 + -3x = 19 + 2x Solving -6 + -3x = 19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -3x + -2x = 19 + 2x + -2x Combine like terms: -3x + -2x = -5x -6 + -5x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -5x = 19 + 0 -6 + -5x = 19 Add '6' to each side of the equation. -6 + 6 + -5x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 19 + 6 -5x = 19 + 6 Combine like terms: 19 + 6 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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