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Simplifying x + -1(4 + 2x) = 1 + 2(4x + 3) x + (4 * -1 + 2x * -1) = 1 + 2(4x + 3) x + (-4 + -2x) = 1 + 2(4x + 3) Reorder the terms: -4 + x + -2x = 1 + 2(4x + 3) Combine like terms: x + -2x = -1x -4 + -1x = 1 + 2(4x + 3) Reorder the terms: -4 + -1x = 1 + 2(3 + 4x) -4 + -1x = 1 + (3 * 2 + 4x * 2) -4 + -1x = 1 + (6 + 8x) Combine like terms: 1 + 6 = 7 -4 + -1x = 7 + 8x Solving -4 + -1x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + -1x + -8x = 7 + 8x + -8x Combine like terms: -1x + -8x = -9x -4 + -9x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -9x = 7 + 0 -4 + -9x = 7 Add '4' to each side of the equation. -4 + 4 + -9x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 7 + 4 -9x = 7 + 4 Combine like terms: 7 + 4 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222
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