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Simplifying 4(2x + 1) = 9 + -3x + 7 Reorder the terms: 4(1 + 2x) = 9 + -3x + 7 (1 * 4 + 2x * 4) = 9 + -3x + 7 (4 + 8x) = 9 + -3x + 7 Reorder the terms: 4 + 8x = 9 + 7 + -3x Combine like terms: 9 + 7 = 16 4 + 8x = 16 + -3x Solving 4 + 8x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 8x + 3x = 16 + -3x + 3x Combine like terms: 8x + 3x = 11x 4 + 11x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 11x = 16 + 0 4 + 11x = 16 Add '-4' to each side of the equation. 4 + -4 + 11x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 16 + -4 11x = 16 + -4 Combine like terms: 16 + -4 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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