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Simplifying 3x + -5 = (5x + 12) * 2 Reorder the terms: -5 + 3x = (5x + 12) * 2 Reorder the terms: -5 + 3x = (12 + 5x) * 2 Reorder the terms for easier multiplication: -5 + 3x = 2(12 + 5x) -5 + 3x = (12 * 2 + 5x * 2) -5 + 3x = (24 + 10x) Solving -5 + 3x = 24 + 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. -5 + 3x + -10x = 24 + 10x + -10x Combine like terms: 3x + -10x = -7x -5 + -7x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -7x = 24 + 0 -5 + -7x = 24 Add '5' to each side of the equation. -5 + 5 + -7x = 24 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 24 + 5 -7x = 24 + 5 Combine like terms: 24 + 5 = 29 -7x = 29 Divide each side by '-7'. x = -4.142857143 Simplifying x = -4.142857143
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