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Simplifying 15 + -2x = 7(x + 6) Reorder the terms: 15 + -2x = 7(6 + x) 15 + -2x = (6 * 7 + x * 7) 15 + -2x = (42 + 7x) Solving 15 + -2x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -2x + -7x = 42 + 7x + -7x Combine like terms: -2x + -7x = -9x 15 + -9x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -9x = 42 + 0 15 + -9x = 42 Add '-15' to each side of the equation. 15 + -15 + -9x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 42 + -15 -9x = 42 + -15 Combine like terms: 42 + -15 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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