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Simplifying 7(2x + -8y) * 2 + 14 = -2 Reorder the terms for easier multiplication: 7 * 2(2x + -8y) + 14 = -2 Multiply 7 * 2 14(2x + -8y) + 14 = -2 (2x * 14 + -8y * 14) + 14 = -2 (28x + -112y) + 14 = -2 Reorder the terms: 14 + 28x + -112y = -2 Solving 14 + 28x + -112y = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 28x + -14 + -112y = -2 + -14 Reorder the terms: 14 + -14 + 28x + -112y = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 28x + -112y = -2 + -14 28x + -112y = -2 + -14 Combine like terms: -2 + -14 = -16 28x + -112y = -16 Add '112y' to each side of the equation. 28x + -112y + 112y = -16 + 112y Combine like terms: -112y + 112y = 0 28x + 0 = -16 + 112y 28x = -16 + 112y Divide each side by '28'. x = -0.5714285714 + 4y Simplifying x = -0.5714285714 + 4y
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