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Simplifying 5(x + 7) + 9 = 8x + 4 Reorder the terms: 5(7 + x) + 9 = 8x + 4 (7 * 5 + x * 5) + 9 = 8x + 4 (35 + 5x) + 9 = 8x + 4 Reorder the terms: 35 + 9 + 5x = 8x + 4 Combine like terms: 35 + 9 = 44 44 + 5x = 8x + 4 Reorder the terms: 44 + 5x = 4 + 8x Solving 44 + 5x = 4 + 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. 44 + 5x + -8x = 4 + 8x + -8x Combine like terms: 5x + -8x = -3x 44 + -3x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 44 + -3x = 4 + 0 44 + -3x = 4 Add '-44' to each side of the equation. 44 + -44 + -3x = 4 + -44 Combine like terms: 44 + -44 = 0 0 + -3x = 4 + -44 -3x = 4 + -44 Combine like terms: 4 + -44 = -40 -3x = -40 Divide each side by '-3'. x = 13.33333333 Simplifying x = 13.33333333
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