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Simplifying 7x + 3(-2x + 18) = 47 Reorder the terms: 7x + 3(18 + -2x) = 47 7x + (18 * 3 + -2x * 3) = 47 7x + (54 + -6x) = 47 Reorder the terms: 54 + 7x + -6x = 47 Combine like terms: 7x + -6x = 1x 54 + 1x = 47 Solving 54 + 1x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 1x = 47 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 47 + -54 1x = 47 + -54 Combine like terms: 47 + -54 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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