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Simplifying 5x + 7(2x + -6) = -14 + -9x Reorder the terms: 5x + 7(-6 + 2x) = -14 + -9x 5x + (-6 * 7 + 2x * 7) = -14 + -9x 5x + (-42 + 14x) = -14 + -9x Reorder the terms: -42 + 5x + 14x = -14 + -9x Combine like terms: 5x + 14x = 19x -42 + 19x = -14 + -9x Solving -42 + 19x = -14 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -42 + 19x + 9x = -14 + -9x + 9x Combine like terms: 19x + 9x = 28x -42 + 28x = -14 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + 28x = -14 + 0 -42 + 28x = -14 Add '42' to each side of the equation. -42 + 42 + 28x = -14 + 42 Combine like terms: -42 + 42 = 0 0 + 28x = -14 + 42 28x = -14 + 42 Combine like terms: -14 + 42 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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