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Simplifying 7(x + -4) = 6x + 29 Reorder the terms: 7(-4 + x) = 6x + 29 (-4 * 7 + x * 7) = 6x + 29 (-28 + 7x) = 6x + 29 Reorder the terms: -28 + 7x = 29 + 6x Solving -28 + 7x = 29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 7x + -6x = 29 + 6x + -6x Combine like terms: 7x + -6x = 1x -28 + 1x = 29 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 1x = 29 + 0 -28 + 1x = 29 Add '28' to each side of the equation. -28 + 28 + 1x = 29 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 29 + 28 1x = 29 + 28 Combine like terms: 29 + 28 = 57 1x = 57 Divide each side by '1'. x = 57 Simplifying x = 57
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