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Simplifying 7(6 + -1x) = 2x + -15 (6 * 7 + -1x * 7) = 2x + -15 (42 + -7x) = 2x + -15 Reorder the terms: 42 + -7x = -15 + 2x Solving 42 + -7x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + -7x + -2x = -15 + 2x + -2x Combine like terms: -7x + -2x = -9x 42 + -9x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -9x = -15 + 0 42 + -9x = -15 Add '-42' to each side of the equation. 42 + -42 + -9x = -15 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = -15 + -42 -9x = -15 + -42 Combine like terms: -15 + -42 = -57 -9x = -57 Divide each side by '-9'. x = 6.333333333 Simplifying x = 6.333333333
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