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Simplifying 3 + -1(2 + -1x) + 4 = 5 + -1(3x + -10) + -1x 3 + (2 * -1 + -1x * -1) + 4 = 5 + -1(3x + -10) + -1x 3 + (-2 + 1x) + 4 = 5 + -1(3x + -10) + -1x Reorder the terms: 3 + -2 + 4 + 1x = 5 + -1(3x + -10) + -1x Combine like terms: 3 + -2 = 1 1 + 4 + 1x = 5 + -1(3x + -10) + -1x Combine like terms: 1 + 4 = 5 5 + 1x = 5 + -1(3x + -10) + -1x Reorder the terms: 5 + 1x = 5 + -1(-10 + 3x) + -1x 5 + 1x = 5 + (-10 * -1 + 3x * -1) + -1x 5 + 1x = 5 + (10 + -3x) + -1x Combine like terms: 5 + 10 = 15 5 + 1x = 15 + -3x + -1x Combine like terms: -3x + -1x = -4x 5 + 1x = 15 + -4x Solving 5 + 1x = 15 + -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. 5 + 1x + 4x = 15 + -4x + 4x Combine like terms: 1x + 4x = 5x 5 + 5x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 5x = 15 + 0 5 + 5x = 15 Add '-5' to each side of the equation. 5 + -5 + 5x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 15 + -5 5x = 15 + -5 Combine like terms: 15 + -5 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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