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Simplifying 11 + -43 = 4(x + -1) + -8 Combine like terms: 11 + -43 = -32 -32 = 4(x + -1) + -8 Reorder the terms: -32 = 4(-1 + x) + -8 -32 = (-1 * 4 + x * 4) + -8 -32 = (-4 + 4x) + -8 Reorder the terms: -32 = -4 + -8 + 4x Combine like terms: -4 + -8 = -12 -32 = -12 + 4x Solving -32 = -12 + 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. -32 + -4x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -4x = -12 + 0 -32 + -4x = -12 Add '32' to each side of the equation. -32 + 32 + -4x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -12 + 32 -4x = -12 + 32 Combine like terms: -12 + 32 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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