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Simplifying 6(x + 7) + -8x = 7x Reorder the terms: 6(7 + x) + -8x = 7x (7 * 6 + x * 6) + -8x = 7x (42 + 6x) + -8x = 7x Combine like terms: 6x + -8x = -2x 42 + -2x = 7x Solving 42 + -2x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + -2x + -7x = 7x + -7x Combine like terms: -2x + -7x = -9x 42 + -9x = 7x + -7x Combine like terms: 7x + -7x = 0 42 + -9x = 0 Add '-42' to each side of the equation. 42 + -42 + -9x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = 0 + -42 -9x = 0 + -42 Combine like terms: 0 + -42 = -42 -9x = -42 Divide each side by '-9'. x = 4.666666667 Simplifying x = 4.666666667
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