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Simplifying -10x + 5 = 3x + 12 Reorder the terms: 5 + -10x = 3x + 12 Reorder the terms: 5 + -10x = 12 + 3x Solving 5 + -10x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -10x + -3x = 12 + 3x + -3x Combine like terms: -10x + -3x = -13x 5 + -13x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -13x = 12 + 0 5 + -13x = 12 Add '-5' to each side of the equation. 5 + -5 + -13x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = 12 + -5 -13x = 12 + -5 Combine like terms: 12 + -5 = 7 -13x = 7 Divide each side by '-13'. x = -0.5384615385 Simplifying x = -0.5384615385
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