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Simplifying 5 + -2(7x + -1) = 2x + 1 Reorder the terms: 5 + -2(-1 + 7x) = 2x + 1 5 + (-1 * -2 + 7x * -2) = 2x + 1 5 + (2 + -14x) = 2x + 1 Combine like terms: 5 + 2 = 7 7 + -14x = 2x + 1 Reorder the terms: 7 + -14x = 1 + 2x Solving 7 + -14x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -14x + -2x = 1 + 2x + -2x Combine like terms: -14x + -2x = -16x 7 + -16x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -16x = 1 + 0 7 + -16x = 1 Add '-7' to each side of the equation. 7 + -7 + -16x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -16x = 1 + -7 -16x = 1 + -7 Combine like terms: 1 + -7 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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