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Simplifying 2(x + -6) = 3 + -1(4x + -9) Reorder the terms: 2(-6 + x) = 3 + -1(4x + -9) (-6 * 2 + x * 2) = 3 + -1(4x + -9) (-12 + 2x) = 3 + -1(4x + -9) Reorder the terms: -12 + 2x = 3 + -1(-9 + 4x) -12 + 2x = 3 + (-9 * -1 + 4x * -1) -12 + 2x = 3 + (9 + -4x) Combine like terms: 3 + 9 = 12 -12 + 2x = 12 + -4x Solving -12 + 2x = 12 + -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 + 2x + 4x = 12 + -4x + 4x Combine like terms: 2x + 4x = 6x -12 + 6x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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