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Simplifying 3(4x + -1) = 4(2x + 9) + -7 Reorder the terms: 3(-1 + 4x) = 4(2x + 9) + -7 (-1 * 3 + 4x * 3) = 4(2x + 9) + -7 (-3 + 12x) = 4(2x + 9) + -7 Reorder the terms: -3 + 12x = 4(9 + 2x) + -7 -3 + 12x = (9 * 4 + 2x * 4) + -7 -3 + 12x = (36 + 8x) + -7 Reorder the terms: -3 + 12x = 36 + -7 + 8x Combine like terms: 36 + -7 = 29 -3 + 12x = 29 + 8x Solving -3 + 12x = 29 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 12x + -8x = 29 + 8x + -8x Combine like terms: 12x + -8x = 4x -3 + 4x = 29 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 4x = 29 + 0 -3 + 4x = 29 Add '3' to each side of the equation. -3 + 3 + 4x = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 29 + 3 4x = 29 + 3 Combine like terms: 29 + 3 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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