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Simplifying 12 + -3x + 4 = 10x + 1 + -1x Reorder the terms: 12 + 4 + -3x = 10x + 1 + -1x Combine like terms: 12 + 4 = 16 16 + -3x = 10x + 1 + -1x Reorder the terms: 16 + -3x = 1 + 10x + -1x Combine like terms: 10x + -1x = 9x 16 + -3x = 1 + 9x Solving 16 + -3x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 16 + -3x + -9x = 1 + 9x + -9x Combine like terms: -3x + -9x = -12x 16 + -12x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + -12x = 1 + 0 16 + -12x = 1 Add '-16' to each side of the equation. 16 + -16 + -12x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 1 + -16 -12x = 1 + -16 Combine like terms: 1 + -16 = -15 -12x = -15 Divide each side by '-12'. x = 1.25 Simplifying x = 1.25
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