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Simplifying -6 + 2x + 18 = 5x + 1 Reorder the terms: -6 + 18 + 2x = 5x + 1 Combine like terms: -6 + 18 = 12 12 + 2x = 5x + 1 Reorder the terms: 12 + 2x = 1 + 5x Solving 12 + 2x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x 12 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -3x = 1 + 0 12 + -3x = 1 Add '-12' to each side of the equation. 12 + -12 + -3x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 1 + -12 -3x = 1 + -12 Combine like terms: 1 + -12 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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