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Simplifying 8(x + 4) + -6x = 9x + -2 Reorder the terms: 8(4 + x) + -6x = 9x + -2 (4 * 8 + x * 8) + -6x = 9x + -2 (32 + 8x) + -6x = 9x + -2 Combine like terms: 8x + -6x = 2x 32 + 2x = 9x + -2 Reorder the terms: 32 + 2x = -2 + 9x Solving 32 + 2x = -2 + 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. 32 + 2x + -9x = -2 + 9x + -9x Combine like terms: 2x + -9x = -7x 32 + -7x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -7x = -2 + 0 32 + -7x = -2 Add '-32' to each side of the equation. 32 + -32 + -7x = -2 + -32 Combine like terms: 32 + -32 = 0 0 + -7x = -2 + -32 -7x = -2 + -32 Combine like terms: -2 + -32 = -34 -7x = -34 Divide each side by '-7'. x = 4.857142857 Simplifying x = 4.857142857
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