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Simplifying 7(4x + -6) = 29x Reorder the terms: 7(-6 + 4x) = 29x (-6 * 7 + 4x * 7) = 29x (-42 + 28x) = 29x Solving -42 + 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. -42 + 28x + -29x = 29x + -29x Combine like terms: 28x + -29x = -1x -42 + -1x = 29x + -29x Combine like terms: 29x + -29x = 0 -42 + -1x = 0 Add '42' to each side of the equation. -42 + 42 + -1x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = 0 + 42 -1x = 0 + 42 Combine like terms: 0 + 42 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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