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Simplifying -2(3x + 4) = 1 + 4(x + -1) Reorder the terms: -2(4 + 3x) = 1 + 4(x + -1) (4 * -2 + 3x * -2) = 1 + 4(x + -1) (-8 + -6x) = 1 + 4(x + -1) Reorder the terms: -8 + -6x = 1 + 4(-1 + x) -8 + -6x = 1 + (-1 * 4 + x * 4) -8 + -6x = 1 + (-4 + 4x) Combine like terms: 1 + -4 = -3 -8 + -6x = -3 + 4x Solving -8 + -6x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + -6x + -4x = -3 + 4x + -4x Combine like terms: -6x + -4x = -10x -8 + -10x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -10x = -3 + 0 -8 + -10x = -3 Add '8' to each side of the equation. -8 + 8 + -10x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = -3 + 8 -10x = -3 + 8 Combine like terms: -3 + 8 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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