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Simplifying 8(x + -4) + -6(2 + -1x) = 2(6x + -1) Reorder the terms: 8(-4 + x) + -6(2 + -1x) = 2(6x + -1) (-4 * 8 + x * 8) + -6(2 + -1x) = 2(6x + -1) (-32 + 8x) + -6(2 + -1x) = 2(6x + -1) -32 + 8x + (2 * -6 + -1x * -6) = 2(6x + -1) -32 + 8x + (-12 + 6x) = 2(6x + -1) Reorder the terms: -32 + -12 + 8x + 6x = 2(6x + -1) Combine like terms: -32 + -12 = -44 -44 + 8x + 6x = 2(6x + -1) Combine like terms: 8x + 6x = 14x -44 + 14x = 2(6x + -1) Reorder the terms: -44 + 14x = 2(-1 + 6x) -44 + 14x = (-1 * 2 + 6x * 2) -44 + 14x = (-2 + 12x) Solving -44 + 14x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -44 + 14x + -12x = -2 + 12x + -12x Combine like terms: 14x + -12x = 2x -44 + 2x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 -44 + 2x = -2 + 0 -44 + 2x = -2 Add '44' to each side of the equation. -44 + 44 + 2x = -2 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = -2 + 44 2x = -2 + 44 Combine like terms: -2 + 44 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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