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Simplifying 3x + 10 = 5(x + -10) Reorder the terms: 10 + 3x = 5(x + -10) Reorder the terms: 10 + 3x = 5(-10 + x) 10 + 3x = (-10 * 5 + x * 5) 10 + 3x = (-50 + 5x) Solving 10 + 3x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 3x + -5x = -50 + 5x + -5x Combine like terms: 3x + -5x = -2x 10 + -2x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -2x = -50 + 0 10 + -2x = -50 Add '-10' to each side of the equation. 10 + -10 + -2x = -50 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -50 + -10 -2x = -50 + -10 Combine like terms: -50 + -10 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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