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Simplifying 3x + 9 + -2x = 5x + -19 + 12 Reorder the terms: 9 + 3x + -2x = 5x + -19 + 12 Combine like terms: 3x + -2x = 1x 9 + 1x = 5x + -19 + 12 Reorder the terms: 9 + 1x = -19 + 12 + 5x Combine like terms: -19 + 12 = -7 9 + 1x = -7 + 5x Solving 9 + 1x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 1x + -5x = -7 + 5x + -5x Combine like terms: 1x + -5x = -4x 9 + -4x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -4x = -7 + 0 9 + -4x = -7 Add '-9' to each side of the equation. 9 + -9 + -4x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -7 + -9 -4x = -7 + -9 Combine like terms: -7 + -9 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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