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Simplifying 4(2x + 3) = 4(x + -6) Reorder the terms: 4(3 + 2x) = 4(x + -6) (3 * 4 + 2x * 4) = 4(x + -6) (12 + 8x) = 4(x + -6) Reorder the terms: 12 + 8x = 4(-6 + x) 12 + 8x = (-6 * 4 + x * 4) 12 + 8x = (-24 + 4x) Solving 12 + 8x = -24 + 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. 12 + 8x + -4x = -24 + 4x + -4x Combine like terms: 8x + -4x = 4x 12 + 4x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 4x = -24 + 0 12 + 4x = -24 Add '-12' to each side of the equation. 12 + -12 + 4x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -24 + -12 4x = -24 + -12 Combine like terms: -24 + -12 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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