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Simplifying 2(4x + -3) = 7x + 29 Reorder the terms: 2(-3 + 4x) = 7x + 29 (-3 * 2 + 4x * 2) = 7x + 29 (-6 + 8x) = 7x + 29 Reorder the terms: -6 + 8x = 29 + 7x Solving -6 + 8x = 29 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 8x + -7x = 29 + 7x + -7x Combine like terms: 8x + -7x = 1x -6 + 1x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 1x = 29 + 0 -6 + 1x = 29 Add '6' to each side of the equation. -6 + 6 + 1x = 29 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 29 + 6 1x = 29 + 6 Combine like terms: 29 + 6 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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