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Simplifying 1 + -3[x + 2] = 7 + x Reorder the terms: 1 + -3[2 + x] = 7 + x 1 + [2 * -3 + x * -3] = 7 + x 1 + [-6 + -3x] = 7 + x Combine like terms: 1 + -6 = -5 -5 + -3x = 7 + x Solving -5 + -3x = 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. -5 + -3x + -1x = 7 + x + -1x Combine like terms: -3x + -1x = -4x -5 + -4x = 7 + x + -1x Combine like terms: x + -1x = 0 -5 + -4x = 7 + 0 -5 + -4x = 7 Add '5' to each side of the equation. -5 + 5 + -4x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 7 + 5 -4x = 7 + 5 Combine like terms: 7 + 5 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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