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Simplifying -8 = 7(x + -4) + 2(-4x + 8) Reorder the terms: -8 = 7(-4 + x) + 2(-4x + 8) -8 = (-4 * 7 + x * 7) + 2(-4x + 8) -8 = (-28 + 7x) + 2(-4x + 8) Reorder the terms: -8 = -28 + 7x + 2(8 + -4x) -8 = -28 + 7x + (8 * 2 + -4x * 2) -8 = -28 + 7x + (16 + -8x) Reorder the terms: -8 = -28 + 16 + 7x + -8x Combine like terms: -28 + 16 = -12 -8 = -12 + 7x + -8x Combine like terms: 7x + -8x = -1x -8 = -12 + -1x Solving -8 = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + x = -12 + -1x + x Combine like terms: -1x + x = 0 -8 + x = -12 + 0 -8 + x = -12 Add '8' to each side of the equation. -8 + 8 + x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + x = -12 + 8 x = -12 + 8 Combine like terms: -12 + 8 = -4 x = -4 Simplifying x = -4
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