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Simplifying 4(2x + -3) + 8(x + -4) = 2(2 + 6) Reorder the terms: 4(-3 + 2x) + 8(x + -4) = 2(2 + 6) (-3 * 4 + 2x * 4) + 8(x + -4) = 2(2 + 6) (-12 + 8x) + 8(x + -4) = 2(2 + 6) Reorder the terms: -12 + 8x + 8(-4 + x) = 2(2 + 6) -12 + 8x + (-4 * 8 + x * 8) = 2(2 + 6) -12 + 8x + (-32 + 8x) = 2(2 + 6) Reorder the terms: -12 + -32 + 8x + 8x = 2(2 + 6) Combine like terms: -12 + -32 = -44 -44 + 8x + 8x = 2(2 + 6) Combine like terms: 8x + 8x = 16x -44 + 16x = 2(2 + 6) Combine like terms: 2 + 6 = 8 -44 + 16x = 2(8) Multiply 2 * 8 -44 + 16x = 16 Solving -44 + 16x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 16x = 16 + 44 Combine like terms: -44 + 44 = 0 0 + 16x = 16 + 44 16x = 16 + 44 Combine like terms: 16 + 44 = 60 16x = 60 Divide each side by '16'. x = 3.75 Simplifying x = 3.75
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