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Simplifying -312 = 8(4x + -7) Reorder the terms: -312 = 8(-7 + 4x) -312 = (-7 * 8 + 4x * 8) -312 = (-56 + 32x) Solving -312 = -56 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -312 + -32x = -56 + 32x + -32x Combine like terms: 32x + -32x = 0 -312 + -32x = -56 + 0 -312 + -32x = -56 Add '312' to each side of the equation. -312 + 312 + -32x = -56 + 312 Combine like terms: -312 + 312 = 0 0 + -32x = -56 + 312 -32x = -56 + 312 Combine like terms: -56 + 312 = 256 -32x = 256 Divide each side by '-32'. x = -8 Simplifying x = -8
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