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Simplifying 4(9x + -3) = 6(2x + 6) Reorder the terms: 4(-3 + 9x) = 6(2x + 6) (-3 * 4 + 9x * 4) = 6(2x + 6) (-12 + 36x) = 6(2x + 6) Reorder the terms: -12 + 36x = 6(6 + 2x) -12 + 36x = (6 * 6 + 2x * 6) -12 + 36x = (36 + 12x) Solving -12 + 36x = 36 + 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 + 36x + -12x = 36 + 12x + -12x Combine like terms: 36x + -12x = 24x -12 + 24x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 24x = 36 + 0 -12 + 24x = 36 Add '12' to each side of the equation. -12 + 12 + 24x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 36 + 12 24x = 36 + 12 Combine like terms: 36 + 12 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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