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Simplifying 12 + -5x = 3x + -9x + 19 Reorder the terms: 12 + -5x = 19 + 3x + -9x Combine like terms: 3x + -9x = -6x 12 + -5x = 19 + -6x Solving 12 + -5x = 19 + -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. 12 + -5x + 6x = 19 + -6x + 6x Combine like terms: -5x + 6x = 1x 12 + 1x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 1x = 19 + 0 12 + 1x = 19 Add '-12' to each side of the equation. 12 + -12 + 1x = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 19 + -12 1x = 19 + -12 Combine like terms: 19 + -12 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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