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Simplifying 5(x + 4) + -3(x + -10) = 62 Reorder the terms: 5(4 + x) + -3(x + -10) = 62 (4 * 5 + x * 5) + -3(x + -10) = 62 (20 + 5x) + -3(x + -10) = 62 Reorder the terms: 20 + 5x + -3(-10 + x) = 62 20 + 5x + (-10 * -3 + x * -3) = 62 20 + 5x + (30 + -3x) = 62 Reorder the terms: 20 + 30 + 5x + -3x = 62 Combine like terms: 20 + 30 = 50 50 + 5x + -3x = 62 Combine like terms: 5x + -3x = 2x 50 + 2x = 62 Solving 50 + 2x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 2x = 62 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 62 + -50 2x = 62 + -50 Combine like terms: 62 + -50 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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