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Simplifying x + 4 = -6x + 18 Reorder the terms: 4 + x = -6x + 18 Reorder the terms: 4 + x = 18 + -6x Solving 4 + x = 18 + -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. 4 + x + 6x = 18 + -6x + 6x Combine like terms: x + 6x = 7x 4 + 7x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 7x = 18 + 0 4 + 7x = 18 Add '-4' to each side of the equation. 4 + -4 + 7x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 18 + -4 7x = 18 + -4 Combine like terms: 18 + -4 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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