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Simplifying 4(x + -3) = 8(x + -3) + -12 Reorder the terms: 4(-3 + x) = 8(x + -3) + -12 (-3 * 4 + x * 4) = 8(x + -3) + -12 (-12 + 4x) = 8(x + -3) + -12 Reorder the terms: -12 + 4x = 8(-3 + x) + -12 -12 + 4x = (-3 * 8 + x * 8) + -12 -12 + 4x = (-24 + 8x) + -12 Reorder the terms: -12 + 4x = -24 + -12 + 8x Combine like terms: -24 + -12 = -36 -12 + 4x = -36 + 8x Solving -12 + 4x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 4x + -8x = -36 + 8x + -8x Combine like terms: 4x + -8x = -4x -12 + -4x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -4x = -36 + 0 -12 + -4x = -36 Add '12' to each side of the equation. -12 + 12 + -4x = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -36 + 12 -4x = -36 + 12 Combine like terms: -36 + 12 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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