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Simplifying 7(5x + 2) = x(1) Reorder the terms: 7(2 + 5x) = x(1) (2 * 7 + 5x * 7) = x(1) (14 + 35x) = x(1) Reorder the terms for easier multiplication: 14 + 35x = 1x Solving 14 + 35x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + 35x + -1x = 1x + -1x Combine like terms: 35x + -1x = 34x 14 + 34x = 1x + -1x Combine like terms: 1x + -1x = 0 14 + 34x = 0 Add '-14' to each side of the equation. 14 + -14 + 34x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 34x = 0 + -14 34x = 0 + -14 Combine like terms: 0 + -14 = -14 34x = -14 Divide each side by '34'. x = -0.4117647059 Simplifying x = -0.4117647059
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