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Simplifying 2(5 + -2x) + 21 = 5(1 + -3x) + -4x (5 * 2 + -2x * 2) + 21 = 5(1 + -3x) + -4x (10 + -4x) + 21 = 5(1 + -3x) + -4x Reorder the terms: 10 + 21 + -4x = 5(1 + -3x) + -4x Combine like terms: 10 + 21 = 31 31 + -4x = 5(1 + -3x) + -4x 31 + -4x = (1 * 5 + -3x * 5) + -4x 31 + -4x = (5 + -15x) + -4x Combine like terms: -15x + -4x = -19x 31 + -4x = 5 + -19x Solving 31 + -4x = 5 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 31 + -4x + 19x = 5 + -19x + 19x Combine like terms: -4x + 19x = 15x 31 + 15x = 5 + -19x + 19x Combine like terms: -19x + 19x = 0 31 + 15x = 5 + 0 31 + 15x = 5 Add '-31' to each side of the equation. 31 + -31 + 15x = 5 + -31 Combine like terms: 31 + -31 = 0 0 + 15x = 5 + -31 15x = 5 + -31 Combine like terms: 5 + -31 = -26 15x = -26 Divide each side by '15'. x = -1.733333333 Simplifying x = -1.733333333
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