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