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Simplifying 4x + -2[x + 4] = x + 1 Reorder the terms: 4x + -2[4 + x] = x + 1 4x + [4 * -2 + x * -2] = x + 1 4x + [-8 + -2x] = x + 1 Reorder the terms: -8 + 4x + -2x = x + 1 Combine like terms: 4x + -2x = 2x -8 + 2x = x + 1 Reorder the terms: -8 + 2x = 1 + x Solving -8 + 2x = 1 + 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 + 2x + -1x = 1 + x + -1x Combine like terms: 2x + -1x = 1x -8 + 1x = 1 + x + -1x Combine like terms: x + -1x = 0 -8 + 1x = 1 + 0 -8 + 1x = 1 Add '8' to each side of the equation. -8 + 8 + 1x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 1 + 8 1x = 1 + 8 Combine like terms: 1 + 8 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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