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Simplifying 5x + -3x + 10 = 12x + -5 + 12x Reorder the terms: 10 + 5x + -3x = 12x + -5 + 12x Combine like terms: 5x + -3x = 2x 10 + 2x = 12x + -5 + 12x Reorder the terms: 10 + 2x = -5 + 12x + 12x Combine like terms: 12x + 12x = 24x 10 + 2x = -5 + 24x Solving 10 + 2x = -5 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + 2x + -24x = -5 + 24x + -24x Combine like terms: 2x + -24x = -22x 10 + -22x = -5 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -22x = -5 + 0 10 + -22x = -5 Add '-10' to each side of the equation. 10 + -10 + -22x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -22x = -5 + -10 -22x = -5 + -10 Combine like terms: -5 + -10 = -15 -22x = -15 Divide each side by '-22'. x = 0.6818181818 Simplifying x = 0.6818181818
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