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Simplifying 4x + 4(2 + -1x) = 2 + -3x + 4(2 + x) 4x + (2 * 4 + -1x * 4) = 2 + -3x + 4(2 + x) 4x + (8 + -4x) = 2 + -3x + 4(2 + x) Reorder the terms: 8 + 4x + -4x = 2 + -3x + 4(2 + x) Combine like terms: 4x + -4x = 0 8 + 0 = 2 + -3x + 4(2 + x) 8 = 2 + -3x + 4(2 + x) 8 = 2 + -3x + (2 * 4 + x * 4) 8 = 2 + -3x + (8 + 4x) Reorder the terms: 8 = 2 + 8 + -3x + 4x Combine like terms: 2 + 8 = 10 8 = 10 + -3x + 4x Combine like terms: -3x + 4x = 1x 8 = 10 + 1x Solving 8 = 10 + 1x 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 + -1x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -1x = 10 + 0 8 + -1x = 10 Add '-8' to each side of the equation. 8 + -8 + -1x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 10 + -8 -1x = 10 + -8 Combine like terms: 10 + -8 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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