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Simplifying 6x + 209 = 15x + -7 Reorder the terms: 209 + 6x = 15x + -7 Reorder the terms: 209 + 6x = -7 + 15x Solving 209 + 6x = -7 + 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. 209 + 6x + -15x = -7 + 15x + -15x Combine like terms: 6x + -15x = -9x 209 + -9x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 209 + -9x = -7 + 0 209 + -9x = -7 Add '-209' to each side of the equation. 209 + -209 + -9x = -7 + -209 Combine like terms: 209 + -209 = 0 0 + -9x = -7 + -209 -9x = -7 + -209 Combine like terms: -7 + -209 = -216 -9x = -216 Divide each side by '-9'. x = 24 Simplifying x = 24
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