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Simplifying 2(4 + -3x) = 4x + -1(2x + 4) (4 * 2 + -3x * 2) = 4x + -1(2x + 4) (8 + -6x) = 4x + -1(2x + 4) Reorder the terms: 8 + -6x = 4x + -1(4 + 2x) 8 + -6x = 4x + (4 * -1 + 2x * -1) 8 + -6x = 4x + (-4 + -2x) Reorder the terms: 8 + -6x = -4 + 4x + -2x Combine like terms: 4x + -2x = 2x 8 + -6x = -4 + 2x Solving 8 + -6x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -6x + -2x = -4 + 2x + -2x Combine like terms: -6x + -2x = -8x 8 + -8x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -8x = -4 + 0 8 + -8x = -4 Add '-8' to each side of the equation. 8 + -8 + -8x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -4 + -8 -8x = -4 + -8 Combine like terms: -4 + -8 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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