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Simplifying 5x + 12 = -10x + 5 Reorder the terms: 12 + 5x = -10x + 5 Reorder the terms: 12 + 5x = 5 + -10x Solving 12 + 5x = 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 + 5x + 10x = 5 + -10x + 10x Combine like terms: 5x + 10x = 15x 12 + 15x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 15x = 5 + 0 12 + 15x = 5 Add '-12' to each side of the equation. 12 + -12 + 15x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = 5 + -12 15x = 5 + -12 Combine like terms: 5 + -12 = -7 15x = -7 Divide each side by '15'. x = -0.4666666667 Simplifying x = -0.4666666667
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