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Simplifying 5x + -1(2 + -1x) = 8(x + -4) + 12 5x + (2 * -1 + -1x * -1) = 8(x + -4) + 12 5x + (-2 + 1x) = 8(x + -4) + 12 Reorder the terms: -2 + 5x + 1x = 8(x + -4) + 12 Combine like terms: 5x + 1x = 6x -2 + 6x = 8(x + -4) + 12 Reorder the terms: -2 + 6x = 8(-4 + x) + 12 -2 + 6x = (-4 * 8 + x * 8) + 12 -2 + 6x = (-32 + 8x) + 12 Reorder the terms: -2 + 6x = -32 + 12 + 8x Combine like terms: -32 + 12 = -20 -2 + 6x = -20 + 8x Solving -2 + 6x = -20 + 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. -2 + 6x + -8x = -20 + 8x + -8x Combine like terms: 6x + -8x = -2x -2 + -2x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -2x = -20 + 0 -2 + -2x = -20 Add '2' to each side of the equation. -2 + 2 + -2x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -20 + 2 -2x = -20 + 2 Combine like terms: -20 + 2 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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