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Simplifying 4(x + -2) = 8(x + -3) + -12 Reorder the terms: 4(-2 + x) = 8(x + -3) + -12 (-2 * 4 + x * 4) = 8(x + -3) + -12 (-8 + 4x) = 8(x + -3) + -12 Reorder the terms: -8 + 4x = 8(-3 + x) + -12 -8 + 4x = (-3 * 8 + x * 8) + -12 -8 + 4x = (-24 + 8x) + -12 Reorder the terms: -8 + 4x = -24 + -12 + 8x Combine like terms: -24 + -12 = -36 -8 + 4x = -36 + 8x Solving -8 + 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. -8 + 4x + -8x = -36 + 8x + -8x Combine like terms: 4x + -8x = -4x -8 + -4x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -4x = -36 + 0 -8 + -4x = -36 Add '8' to each side of the equation. -8 + 8 + -4x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -36 + 8 -4x = -36 + 8 Combine like terms: -36 + 8 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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