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Simplifying 2(1 + -3x) + 2(5x + 4) = 3 + -1(4x + 1) (1 * 2 + -3x * 2) + 2(5x + 4) = 3 + -1(4x + 1) (2 + -6x) + 2(5x + 4) = 3 + -1(4x + 1) Reorder the terms: 2 + -6x + 2(4 + 5x) = 3 + -1(4x + 1) 2 + -6x + (4 * 2 + 5x * 2) = 3 + -1(4x + 1) 2 + -6x + (8 + 10x) = 3 + -1(4x + 1) Reorder the terms: 2 + 8 + -6x + 10x = 3 + -1(4x + 1) Combine like terms: 2 + 8 = 10 10 + -6x + 10x = 3 + -1(4x + 1) Combine like terms: -6x + 10x = 4x 10 + 4x = 3 + -1(4x + 1) Reorder the terms: 10 + 4x = 3 + -1(1 + 4x) 10 + 4x = 3 + (1 * -1 + 4x * -1) 10 + 4x = 3 + (-1 + -4x) Combine like terms: 3 + -1 = 2 10 + 4x = 2 + -4x Solving 10 + 4x = 2 + -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. 10 + 4x + 4x = 2 + -4x + 4x Combine like terms: 4x + 4x = 8x 10 + 8x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 8x = 2 + 0 10 + 8x = 2 Add '-10' to each side of the equation. 10 + -10 + 8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 2 + -10 8x = 2 + -10 Combine like terms: 2 + -10 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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