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Simplifying -14(2x + 1) = 5(2x + 1) Reorder the terms: -14(1 + 2x) = 5(2x + 1) (1 * -14 + 2x * -14) = 5(2x + 1) (-14 + -28x) = 5(2x + 1) Reorder the terms: -14 + -28x = 5(1 + 2x) -14 + -28x = (1 * 5 + 2x * 5) -14 + -28x = (5 + 10x) Solving -14 + -28x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + -28x + -10x = 5 + 10x + -10x Combine like terms: -28x + -10x = -38x -14 + -38x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -38x = 5 + 0 -14 + -38x = 5 Add '14' to each side of the equation. -14 + 14 + -38x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -38x = 5 + 14 -38x = 5 + 14 Combine like terms: 5 + 14 = 19 -38x = 19 Divide each side by '-38'. x = -0.5 Simplifying x = -0.5
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