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Simplifying 7x + 4(5x + -7) = 34x Reorder the terms: 7x + 4(-7 + 5x) = 34x 7x + (-7 * 4 + 5x * 4) = 34x 7x + (-28 + 20x) = 34x Reorder the terms: -28 + 7x + 20x = 34x Combine like terms: 7x + 20x = 27x -28 + 27x = 34x Solving -28 + 27x = 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -28 + 27x + -34x = 34x + -34x Combine like terms: 27x + -34x = -7x -28 + -7x = 34x + -34x Combine like terms: 34x + -34x = 0 -28 + -7x = 0 Add '28' to each side of the equation. -28 + 28 + -7x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -7x = 0 + 28 -7x = 0 + 28 Combine like terms: 0 + 28 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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