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Simplifying -7(4x + 2) = (2x + 1) Reorder the terms: -7(2 + 4x) = (2x + 1) (2 * -7 + 4x * -7) = (2x + 1) (-14 + -28x) = (2x + 1) Reorder the terms: -14 + -28x = (1 + 2x) Remove parenthesis around (1 + 2x) -14 + -28x = 1 + 2x Solving -14 + -28x = 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. -14 + -28x + -2x = 1 + 2x + -2x Combine like terms: -28x + -2x = -30x -14 + -30x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -30x = 1 + 0 -14 + -30x = 1 Add '14' to each side of the equation. -14 + 14 + -30x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -30x = 1 + 14 -30x = 1 + 14 Combine like terms: 1 + 14 = 15 -30x = 15 Divide each side by '-30'. x = -0.5 Simplifying x = -0.5
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