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Simplifying (-8)(-1x + -4) + -1(-4) = -2(x + 7) Reorder the terms: -8(-4 + -1x) + -1(-4) = -2(x + 7) (-4 * -8 + -1x * -8) + -1(-4) = -2(x + 7) (32 + 8x) + -1(-4) = -2(x + 7) Multiply -1 * -4 32 + 8x + 4 = -2(x + 7) Reorder the terms: 32 + 4 + 8x = -2(x + 7) Combine like terms: 32 + 4 = 36 36 + 8x = -2(x + 7) Reorder the terms: 36 + 8x = -2(7 + x) 36 + 8x = (7 * -2 + x * -2) 36 + 8x = (-14 + -2x) Solving 36 + 8x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 36 + 8x + 2x = -14 + -2x + 2x Combine like terms: 8x + 2x = 10x 36 + 10x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 10x = -14 + 0 36 + 10x = -14 Add '-36' to each side of the equation. 36 + -36 + 10x = -14 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = -14 + -36 10x = -14 + -36 Combine like terms: -14 + -36 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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