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Simplifying 4(2x + 1) + 8 = 9x + 1 Reorder the terms: 4(1 + 2x) + 8 = 9x + 1 (1 * 4 + 2x * 4) + 8 = 9x + 1 (4 + 8x) + 8 = 9x + 1 Reorder the terms: 4 + 8 + 8x = 9x + 1 Combine like terms: 4 + 8 = 12 12 + 8x = 9x + 1 Reorder the terms: 12 + 8x = 1 + 9x Solving 12 + 8x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 8x + -9x = 1 + 9x + -9x Combine like terms: 8x + -9x = -1x 12 + -1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -1x = 1 + 0 12 + -1x = 1 Add '-12' to each side of the equation. 12 + -12 + -1x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 1 + -12 -1x = 1 + -12 Combine like terms: 1 + -12 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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