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Simplifying 4x + -1(2x + -10) = 5x + 1 Reorder the terms: 4x + -1(-10 + 2x) = 5x + 1 4x + (-10 * -1 + 2x * -1) = 5x + 1 4x + (10 + -2x) = 5x + 1 Reorder the terms: 10 + 4x + -2x = 5x + 1 Combine like terms: 4x + -2x = 2x 10 + 2x = 5x + 1 Reorder the terms: 10 + 2x = 1 + 5x Solving 10 + 2x = 1 + 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 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x 10 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x = 1 + 0 10 + -3x = 1 Add '-10' to each side of the equation. 10 + -10 + -3x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 1 + -10 -3x = 1 + -10 Combine like terms: 1 + -10 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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