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Simplifying 2(2x + 1) = 5x + 3x + 9 Reorder the terms: 2(1 + 2x) = 5x + 3x + 9 (1 * 2 + 2x * 2) = 5x + 3x + 9 (2 + 4x) = 5x + 3x + 9 Reorder the terms: 2 + 4x = 9 + 5x + 3x Combine like terms: 5x + 3x = 8x 2 + 4x = 9 + 8x Solving 2 + 4x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 4x + -8x = 9 + 8x + -8x Combine like terms: 4x + -8x = -4x 2 + -4x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -4x = 9 + 0 2 + -4x = 9 Add '-2' to each side of the equation. 2 + -2 + -4x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 9 + -2 -4x = 9 + -2 Combine like terms: 9 + -2 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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