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