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Simplifying 7 + -5x = 18 + -1(6x + 2) Reorder the terms: 7 + -5x = 18 + -1(2 + 6x) 7 + -5x = 18 + (2 * -1 + 6x * -1) 7 + -5x = 18 + (-2 + -6x) Combine like terms: 18 + -2 = 16 7 + -5x = 16 + -6x Solving 7 + -5x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + -5x + 6x = 16 + -6x + 6x Combine like terms: -5x + 6x = 1x 7 + 1x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 1x = 16 + 0 7 + 1x = 16 Add '-7' to each side of the equation. 7 + -7 + 1x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 16 + -7 1x = 16 + -7 Combine like terms: 16 + -7 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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