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Simplifying 4(x + -3) = 6(4 + -2x) Reorder the terms: 4(-3 + x) = 6(4 + -2x) (-3 * 4 + x * 4) = 6(4 + -2x) (-12 + 4x) = 6(4 + -2x) -12 + 4x = (4 * 6 + -2x * 6) -12 + 4x = (24 + -12x) Solving -12 + 4x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + 4x + 12x = 24 + -12x + 12x Combine like terms: 4x + 12x = 16x -12 + 16x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 16x = 24 + 0 -12 + 16x = 24 Add '12' to each side of the equation. -12 + 12 + 16x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 24 + 12 16x = 24 + 12 Combine like terms: 24 + 12 = 36 16x = 36 Divide each side by '16'. x = 2.25 Simplifying x = 2.25
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