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Simplifying 3(2x + -3) + -9 + -4 = 2x + 12 Reorder the terms: 3(-3 + 2x) + -9 + -4 = 2x + 12 (-3 * 3 + 2x * 3) + -9 + -4 = 2x + 12 (-9 + 6x) + -9 + -4 = 2x + 12 Reorder the terms: -9 + -9 + -4 + 6x = 2x + 12 Combine like terms: -9 + -9 = -18 -18 + -4 + 6x = 2x + 12 Combine like terms: -18 + -4 = -22 -22 + 6x = 2x + 12 Reorder the terms: -22 + 6x = 12 + 2x Solving -22 + 6x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -22 + 6x + -2x = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x -22 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 4x = 12 + 0 -22 + 4x = 12 Add '22' to each side of the equation. -22 + 22 + 4x = 12 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = 12 + 22 4x = 12 + 22 Combine like terms: 12 + 22 = 34 4x = 34 Divide each side by '4'. x = 8.5 Simplifying x = 8.5
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