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Simplifying 2(2x + 1) + -1(8x + 2) = 3(x + -4) Reorder the terms: 2(1 + 2x) + -1(8x + 2) = 3(x + -4) (1 * 2 + 2x * 2) + -1(8x + 2) = 3(x + -4) (2 + 4x) + -1(8x + 2) = 3(x + -4) Reorder the terms: 2 + 4x + -1(2 + 8x) = 3(x + -4) 2 + 4x + (2 * -1 + 8x * -1) = 3(x + -4) 2 + 4x + (-2 + -8x) = 3(x + -4) Reorder the terms: 2 + -2 + 4x + -8x = 3(x + -4) Combine like terms: 2 + -2 = 0 0 + 4x + -8x = 3(x + -4) 4x + -8x = 3(x + -4) Combine like terms: 4x + -8x = -4x -4x = 3(x + -4) Reorder the terms: -4x = 3(-4 + x) -4x = (-4 * 3 + x * 3) -4x = (-12 + 3x) Solving -4x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4x + -3x = -12 + 3x + -3x Combine like terms: -4x + -3x = -7x -7x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -7x = -12 + 0 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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