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Simplifying 7(x + 6) + -30 = 1x + 18 Reorder the terms: 7(6 + x) + -30 = 1x + 18 (6 * 7 + x * 7) + -30 = 1x + 18 (42 + 7x) + -30 = 1x + 18 Reorder the terms: 42 + -30 + 7x = 1x + 18 Combine like terms: 42 + -30 = 12 12 + 7x = 1x + 18 Reorder the terms: 12 + 7x = 18 + 1x Solving 12 + 7x = 18 + 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. 12 + 7x + -1x = 18 + 1x + -1x Combine like terms: 7x + -1x = 6x 12 + 6x = 18 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 6x = 18 + 0 12 + 6x = 18 Add '-12' to each side of the equation. 12 + -12 + 6x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 18 + -12 6x = 18 + -12 Combine like terms: 18 + -12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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