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Simplifying 3x + 9 = -8x + 7(x + 5) Reorder the terms: 9 + 3x = -8x + 7(x + 5) Reorder the terms: 9 + 3x = -8x + 7(5 + x) 9 + 3x = -8x + (5 * 7 + x * 7) 9 + 3x = -8x + (35 + 7x) Reorder the terms: 9 + 3x = 35 + -8x + 7x Combine like terms: -8x + 7x = -1x 9 + 3x = 35 + -1x Solving 9 + 3x = 35 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 3x + x = 35 + -1x + x Combine like terms: 3x + x = 4x 9 + 4x = 35 + -1x + x Combine like terms: -1x + x = 0 9 + 4x = 35 + 0 9 + 4x = 35 Add '-9' to each side of the equation. 9 + -9 + 4x = 35 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 35 + -9 4x = 35 + -9 Combine like terms: 35 + -9 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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