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Simplifying 7(x + 18) + -18 = 1x + 30 Reorder the terms: 7(18 + x) + -18 = 1x + 30 (18 * 7 + x * 7) + -18 = 1x + 30 (126 + 7x) + -18 = 1x + 30 Reorder the terms: 126 + -18 + 7x = 1x + 30 Combine like terms: 126 + -18 = 108 108 + 7x = 1x + 30 Reorder the terms: 108 + 7x = 30 + 1x Solving 108 + 7x = 30 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 108 + 7x + -1x = 30 + 1x + -1x Combine like terms: 7x + -1x = 6x 108 + 6x = 30 + 1x + -1x Combine like terms: 1x + -1x = 0 108 + 6x = 30 + 0 108 + 6x = 30 Add '-108' to each side of the equation. 108 + -108 + 6x = 30 + -108 Combine like terms: 108 + -108 = 0 0 + 6x = 30 + -108 6x = 30 + -108 Combine like terms: 30 + -108 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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