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Simplifying 7(4x + -2) = 29x Reorder the terms: 7(-2 + 4x) = 29x (-2 * 7 + 4x * 7) = 29x (-14 + 28x) = 29x Solving -14 + 28x = 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -14 + 28x + -29x = 29x + -29x Combine like terms: 28x + -29x = -1x -14 + -1x = 29x + -29x Combine like terms: 29x + -29x = 0 -14 + -1x = 0 Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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