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Simplifying 7(2x + 6) = 4x + -9x Reorder the terms: 7(6 + 2x) = 4x + -9x (6 * 7 + 2x * 7) = 4x + -9x (42 + 14x) = 4x + -9x Combine like terms: 4x + -9x = -5x 42 + 14x = -5x Solving 42 + 14x = -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 + 14x + 5x = -5x + 5x Combine like terms: 14x + 5x = 19x 42 + 19x = -5x + 5x Combine like terms: -5x + 5x = 0 42 + 19x = 0 Add '-42' to each side of the equation. 42 + -42 + 19x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 19x = 0 + -42 19x = 0 + -42 Combine like terms: 0 + -42 = -42 19x = -42 Divide each side by '19'. x = -2.210526316 Simplifying x = -2.210526316
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