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Simplifying 6x + -2 = 15x + 47 Reorder the terms: -2 + 6x = 15x + 47 Reorder the terms: -2 + 6x = 47 + 15x Solving -2 + 6x = 47 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -2 + 6x + -15x = 47 + 15x + -15x Combine like terms: 6x + -15x = -9x -2 + -9x = 47 + 15x + -15x Combine like terms: 15x + -15x = 0 -2 + -9x = 47 + 0 -2 + -9x = 47 Add '2' to each side of the equation. -2 + 2 + -9x = 47 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 47 + 2 -9x = 47 + 2 Combine like terms: 47 + 2 = 49 -9x = 49 Divide each side by '-9'. x = -5.444444444 Simplifying x = -5.444444444
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