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Simplifying 7(x + 6) = 2x + 3x + -15 Reorder the terms: 7(6 + x) = 2x + 3x + -15 (6 * 7 + x * 7) = 2x + 3x + -15 (42 + 7x) = 2x + 3x + -15 Reorder the terms: 42 + 7x = -15 + 2x + 3x Combine like terms: 2x + 3x = 5x 42 + 7x = -15 + 5x Solving 42 + 7x = -15 + 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. 42 + 7x + -5x = -15 + 5x + -5x Combine like terms: 7x + -5x = 2x 42 + 2x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 2x = -15 + 0 42 + 2x = -15 Add '-42' to each side of the equation. 42 + -42 + 2x = -15 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = -15 + -42 2x = -15 + -42 Combine like terms: -15 + -42 = -57 2x = -57 Divide each side by '2'. x = -28.5 Simplifying x = -28.5
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