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Simplifying 3x + -1(5x + -2) = 10 + -4x Reorder the terms: 3x + -1(-2 + 5x) = 10 + -4x 3x + (-2 * -1 + 5x * -1) = 10 + -4x 3x + (2 + -5x) = 10 + -4x Reorder the terms: 2 + 3x + -5x = 10 + -4x Combine like terms: 3x + -5x = -2x 2 + -2x = 10 + -4x Solving 2 + -2x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -2x + 4x = 10 + -4x + 4x Combine like terms: -2x + 4x = 2x 2 + 2x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 2x = 10 + 0 2 + 2x = 10 Add '-2' to each side of the equation. 2 + -2 + 2x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 10 + -2 2x = 10 + -2 Combine like terms: 10 + -2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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