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Simplifying 8x + 9 = 4(x + 6) + -3x Reorder the terms: 9 + 8x = 4(x + 6) + -3x Reorder the terms: 9 + 8x = 4(6 + x) + -3x 9 + 8x = (6 * 4 + x * 4) + -3x 9 + 8x = (24 + 4x) + -3x Combine like terms: 4x + -3x = 1x 9 + 8x = 24 + 1x Solving 9 + 8x = 24 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 8x + -1x = 24 + 1x + -1x Combine like terms: 8x + -1x = 7x 9 + 7x = 24 + 1x + -1x Combine like terms: 1x + -1x = 0 9 + 7x = 24 + 0 9 + 7x = 24 Add '-9' to each side of the equation. 9 + -9 + 7x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 24 + -9 7x = 24 + -9 Combine like terms: 24 + -9 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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