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Simplifying 2x + -9 = -2(3x + -12) Reorder the terms: -9 + 2x = -2(3x + -12) Reorder the terms: -9 + 2x = -2(-12 + 3x) -9 + 2x = (-12 * -2 + 3x * -2) -9 + 2x = (24 + -6x) Solving -9 + 2x = 24 + -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. -9 + 2x + 6x = 24 + -6x + 6x Combine like terms: 2x + 6x = 8x -9 + 8x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 8x = 24 + 0 -9 + 8x = 24 Add '9' to each side of the equation. -9 + 9 + 8x = 24 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 24 + 9 8x = 24 + 9 Combine like terms: 24 + 9 = 33 8x = 33 Divide each side by '8'. x = 4.125 Simplifying x = 4.125
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