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Simplifying 3(2x + -4) + -1(4x + -2) = -8x + 5 Reorder the terms: 3(-4 + 2x) + -1(4x + -2) = -8x + 5 (-4 * 3 + 2x * 3) + -1(4x + -2) = -8x + 5 (-12 + 6x) + -1(4x + -2) = -8x + 5 Reorder the terms: -12 + 6x + -1(-2 + 4x) = -8x + 5 -12 + 6x + (-2 * -1 + 4x * -1) = -8x + 5 -12 + 6x + (2 + -4x) = -8x + 5 Reorder the terms: -12 + 2 + 6x + -4x = -8x + 5 Combine like terms: -12 + 2 = -10 -10 + 6x + -4x = -8x + 5 Combine like terms: 6x + -4x = 2x -10 + 2x = -8x + 5 Reorder the terms: -10 + 2x = 5 + -8x Solving -10 + 2x = 5 + -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. -10 + 2x + 8x = 5 + -8x + 8x Combine like terms: 2x + 8x = 10x -10 + 10x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 10x = 5 + 0 -10 + 10x = 5 Add '10' to each side of the equation. -10 + 10 + 10x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 5 + 10 10x = 5 + 10 Combine like terms: 5 + 10 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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