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Simplifying 7(x + -2) + x = -4(5 + -1x) + -12 Reorder the terms: 7(-2 + x) + x = -4(5 + -1x) + -12 (-2 * 7 + x * 7) + x = -4(5 + -1x) + -12 (-14 + 7x) + x = -4(5 + -1x) + -12 Combine like terms: 7x + x = 8x -14 + 8x = -4(5 + -1x) + -12 -14 + 8x = (5 * -4 + -1x * -4) + -12 -14 + 8x = (-20 + 4x) + -12 Reorder the terms: -14 + 8x = -20 + -12 + 4x Combine like terms: -20 + -12 = -32 -14 + 8x = -32 + 4x Solving -14 + 8x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 8x + -4x = -32 + 4x + -4x Combine like terms: 8x + -4x = 4x -14 + 4x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 4x = -32 + 0 -14 + 4x = -32 Add '14' to each side of the equation. -14 + 14 + 4x = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -32 + 14 4x = -32 + 14 Combine like terms: -32 + 14 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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