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Simplifying 4x + 2(3x + -9) = 5x + 1 Reorder the terms: 4x + 2(-9 + 3x) = 5x + 1 4x + (-9 * 2 + 3x * 2) = 5x + 1 4x + (-18 + 6x) = 5x + 1 Reorder the terms: -18 + 4x + 6x = 5x + 1 Combine like terms: 4x + 6x = 10x -18 + 10x = 5x + 1 Reorder the terms: -18 + 10x = 1 + 5x Solving -18 + 10x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 10x + -5x = 1 + 5x + -5x Combine like terms: 10x + -5x = 5x -18 + 5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 5x = 1 + 0 -18 + 5x = 1 Add '18' to each side of the equation. -18 + 18 + 5x = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 1 + 18 5x = 1 + 18 Combine like terms: 1 + 18 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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