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Simplifying 4(-7x + 8) = -12(3x + 4) + -8 Reorder the terms: 4(8 + -7x) = -12(3x + 4) + -8 (8 * 4 + -7x * 4) = -12(3x + 4) + -8 (32 + -28x) = -12(3x + 4) + -8 Reorder the terms: 32 + -28x = -12(4 + 3x) + -8 32 + -28x = (4 * -12 + 3x * -12) + -8 32 + -28x = (-48 + -36x) + -8 Reorder the terms: 32 + -28x = -48 + -8 + -36x Combine like terms: -48 + -8 = -56 32 + -28x = -56 + -36x Solving 32 + -28x = -56 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 32 + -28x + 36x = -56 + -36x + 36x Combine like terms: -28x + 36x = 8x 32 + 8x = -56 + -36x + 36x Combine like terms: -36x + 36x = 0 32 + 8x = -56 + 0 32 + 8x = -56 Add '-32' to each side of the equation. 32 + -32 + 8x = -56 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -56 + -32 8x = -56 + -32 Combine like terms: -56 + -32 = -88 8x = -88 Divide each side by '8'. x = -11 Simplifying x = -11
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