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Simplifying 6(x + 1) = 7x + -9 Reorder the terms: 6(1 + x) = 7x + -9 (1 * 6 + x * 6) = 7x + -9 (6 + 6x) = 7x + -9 Reorder the terms: 6 + 6x = -9 + 7x Solving 6 + 6x = -9 + 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. 6 + 6x + -7x = -9 + 7x + -7x Combine like terms: 6x + -7x = -1x 6 + -1x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -1x = -9 + 0 6 + -1x = -9 Add '-6' to each side of the equation. 6 + -6 + -1x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -9 + -6 -1x = -9 + -6 Combine like terms: -9 + -6 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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