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Simplifying (4x + 3)(2) + 6 = 9x + 18 Reorder the terms: (3 + 4x)(2) + 6 = 9x + 18 Reorder the terms for easier multiplication: 2(3 + 4x) + 6 = 9x + 18 (3 * 2 + 4x * 2) + 6 = 9x + 18 (6 + 8x) + 6 = 9x + 18 Reorder the terms: 6 + 6 + 8x = 9x + 18 Combine like terms: 6 + 6 = 12 12 + 8x = 9x + 18 Reorder the terms: 12 + 8x = 18 + 9x Solving 12 + 8x = 18 + 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 = 18 + 9x + -9x Combine like terms: 8x + -9x = -1x 12 + -1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -1x = 18 + 0 12 + -1x = 18 Add '-12' to each side of the equation. 12 + -12 + -1x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 18 + -12 -1x = 18 + -12 Combine like terms: 18 + -12 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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