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Simplifying -4[x + 2] = x + 7 Reorder the terms: -4[2 + x] = x + 7 [2 * -4 + x * -4] = x + 7 [-8 + -4x] = x + 7 Reorder the terms: -8 + -4x = 7 + x Solving -8 + -4x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -4x + -1x = 7 + x + -1x Combine like terms: -4x + -1x = -5x -8 + -5x = 7 + x + -1x Combine like terms: x + -1x = 0 -8 + -5x = 7 + 0 -8 + -5x = 7 Add '8' to each side of the equation. -8 + 8 + -5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 7 + 8 -5x = 7 + 8 Combine like terms: 7 + 8 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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