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Simplifying 5(x + 10) = 3(x + -10) Reorder the terms: 5(10 + x) = 3(x + -10) (10 * 5 + x * 5) = 3(x + -10) (50 + 5x) = 3(x + -10) Reorder the terms: 50 + 5x = 3(-10 + x) 50 + 5x = (-10 * 3 + x * 3) 50 + 5x = (-30 + 3x) Solving 50 + 5x = -30 + 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. 50 + 5x + -3x = -30 + 3x + -3x Combine like terms: 5x + -3x = 2x 50 + 2x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + 2x = -30 + 0 50 + 2x = -30 Add '-50' to each side of the equation. 50 + -50 + 2x = -30 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = -30 + -50 2x = -30 + -50 Combine like terms: -30 + -50 = -80 2x = -80 Divide each side by '2'. x = -40 Simplifying x = -40
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