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Simplifying 7(2x + 1) = 2x + -8x Reorder the terms: 7(1 + 2x) = 2x + -8x (1 * 7 + 2x * 7) = 2x + -8x (7 + 14x) = 2x + -8x Combine like terms: 2x + -8x = -6x 7 + 14x = -6x Solving 7 + 14x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 14x + 6x = -6x + 6x Combine like terms: 14x + 6x = 20x 7 + 20x = -6x + 6x Combine like terms: -6x + 6x = 0 7 + 20x = 0 Add '-7' to each side of the equation. 7 + -7 + 20x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 20x = 0 + -7 20x = 0 + -7 Combine like terms: 0 + -7 = -7 20x = -7 Divide each side by '20'. x = -0.35 Simplifying x = -0.35
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