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Simplifying 8(x + -7) = 4(x + -12) Reorder the terms: 8(-7 + x) = 4(x + -12) (-7 * 8 + x * 8) = 4(x + -12) (-56 + 8x) = 4(x + -12) Reorder the terms: -56 + 8x = 4(-12 + x) -56 + 8x = (-12 * 4 + x * 4) -56 + 8x = (-48 + 4x) Solving -56 + 8x = -48 + 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. -56 + 8x + -4x = -48 + 4x + -4x Combine like terms: 8x + -4x = 4x -56 + 4x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + 4x = -48 + 0 -56 + 4x = -48 Add '56' to each side of the equation. -56 + 56 + 4x = -48 + 56 Combine like terms: -56 + 56 = 0 0 + 4x = -48 + 56 4x = -48 + 56 Combine like terms: -48 + 56 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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