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Simplifying 3x + 12 = 10x + -5 Reorder the terms: 12 + 3x = 10x + -5 Reorder the terms: 12 + 3x = -5 + 10x Solving 12 + 3x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 3x + -10x = -5 + 10x + -10x Combine like terms: 3x + -10x = -7x 12 + -7x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -7x = -5 + 0 12 + -7x = -5 Add '-12' to each side of the equation. 12 + -12 + -7x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -5 + -12 -7x = -5 + -12 Combine like terms: -5 + -12 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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