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Simplifying 3(4x + -1) = 4(-1x + 9) + -7 Reorder the terms: 3(-1 + 4x) = 4(-1x + 9) + -7 (-1 * 3 + 4x * 3) = 4(-1x + 9) + -7 (-3 + 12x) = 4(-1x + 9) + -7 Reorder the terms: -3 + 12x = 4(9 + -1x) + -7 -3 + 12x = (9 * 4 + -1x * 4) + -7 -3 + 12x = (36 + -4x) + -7 Reorder the terms: -3 + 12x = 36 + -7 + -4x Combine like terms: 36 + -7 = 29 -3 + 12x = 29 + -4x Solving -3 + 12x = 29 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 12x + 4x = 29 + -4x + 4x Combine like terms: 12x + 4x = 16x -3 + 16x = 29 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 16x = 29 + 0 -3 + 16x = 29 Add '3' to each side of the equation. -3 + 3 + 16x = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 16x = 29 + 3 16x = 29 + 3 Combine like terms: 29 + 3 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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