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Simplifying 2(9 + 5x) + -4(x + -2) = x + 1 (9 * 2 + 5x * 2) + -4(x + -2) = x + 1 (18 + 10x) + -4(x + -2) = x + 1 Reorder the terms: 18 + 10x + -4(-2 + x) = x + 1 18 + 10x + (-2 * -4 + x * -4) = x + 1 18 + 10x + (8 + -4x) = x + 1 Reorder the terms: 18 + 8 + 10x + -4x = x + 1 Combine like terms: 18 + 8 = 26 26 + 10x + -4x = x + 1 Combine like terms: 10x + -4x = 6x 26 + 6x = x + 1 Reorder the terms: 26 + 6x = 1 + x Solving 26 + 6x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 26 + 6x + -1x = 1 + x + -1x Combine like terms: 6x + -1x = 5x 26 + 5x = 1 + x + -1x Combine like terms: x + -1x = 0 26 + 5x = 1 + 0 26 + 5x = 1 Add '-26' to each side of the equation. 26 + -26 + 5x = 1 + -26 Combine like terms: 26 + -26 = 0 0 + 5x = 1 + -26 5x = 1 + -26 Combine like terms: 1 + -26 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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