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Simplifying 2(5 + -4x) + 1 = 2(x + 3) + -5x (5 * 2 + -4x * 2) + 1 = 2(x + 3) + -5x (10 + -8x) + 1 = 2(x + 3) + -5x Reorder the terms: 10 + 1 + -8x = 2(x + 3) + -5x Combine like terms: 10 + 1 = 11 11 + -8x = 2(x + 3) + -5x Reorder the terms: 11 + -8x = 2(3 + x) + -5x 11 + -8x = (3 * 2 + x * 2) + -5x 11 + -8x = (6 + 2x) + -5x Combine like terms: 2x + -5x = -3x 11 + -8x = 6 + -3x Solving 11 + -8x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 11 + -8x + 3x = 6 + -3x + 3x Combine like terms: -8x + 3x = -5x 11 + -5x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + -5x = 6 + 0 11 + -5x = 6 Add '-11' to each side of the equation. 11 + -11 + -5x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 6 + -11 -5x = 6 + -11 Combine like terms: 6 + -11 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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