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Simplifying 4(x + -6) = 3(2x + 9) Reorder the terms: 4(-6 + x) = 3(2x + 9) (-6 * 4 + x * 4) = 3(2x + 9) (-24 + 4x) = 3(2x + 9) Reorder the terms: -24 + 4x = 3(9 + 2x) -24 + 4x = (9 * 3 + 2x * 3) -24 + 4x = (27 + 6x) Solving -24 + 4x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 4x + -6x = 27 + 6x + -6x Combine like terms: 4x + -6x = -2x -24 + -2x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -2x = 27 + 0 -24 + -2x = 27 Add '24' to each side of the equation. -24 + 24 + -2x = 27 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 27 + 24 -2x = 27 + 24 Combine like terms: 27 + 24 = 51 -2x = 51 Divide each side by '-2'. x = -25.5 Simplifying x = -25.5
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