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Simplifying 4(x + -9) = 8(x + -3) Reorder the terms: 4(-9 + x) = 8(x + -3) (-9 * 4 + x * 4) = 8(x + -3) (-36 + 4x) = 8(x + -3) Reorder the terms: -36 + 4x = 8(-3 + x) -36 + 4x = (-3 * 8 + x * 8) -36 + 4x = (-24 + 8x) Solving -36 + 4x = -24 + 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. -36 + 4x + -8x = -24 + 8x + -8x Combine like terms: 4x + -8x = -4x -36 + -4x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -4x = -24 + 0 -36 + -4x = -24 Add '36' to each side of the equation. -36 + 36 + -4x = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = -24 + 36 -4x = -24 + 36 Combine like terms: -24 + 36 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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