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Simplifying 3(7x + -1) + 3(14 + -4x) = 2(4x + 4) + -4 Reorder the terms: 3(-1 + 7x) + 3(14 + -4x) = 2(4x + 4) + -4 (-1 * 3 + 7x * 3) + 3(14 + -4x) = 2(4x + 4) + -4 (-3 + 21x) + 3(14 + -4x) = 2(4x + 4) + -4 -3 + 21x + (14 * 3 + -4x * 3) = 2(4x + 4) + -4 -3 + 21x + (42 + -12x) = 2(4x + 4) + -4 Reorder the terms: -3 + 42 + 21x + -12x = 2(4x + 4) + -4 Combine like terms: -3 + 42 = 39 39 + 21x + -12x = 2(4x + 4) + -4 Combine like terms: 21x + -12x = 9x 39 + 9x = 2(4x + 4) + -4 Reorder the terms: 39 + 9x = 2(4 + 4x) + -4 39 + 9x = (4 * 2 + 4x * 2) + -4 39 + 9x = (8 + 8x) + -4 Reorder the terms: 39 + 9x = 8 + -4 + 8x Combine like terms: 8 + -4 = 4 39 + 9x = 4 + 8x Solving 39 + 9x = 4 + 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. 39 + 9x + -8x = 4 + 8x + -8x Combine like terms: 9x + -8x = 1x 39 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 39 + 1x = 4 + 0 39 + 1x = 4 Add '-39' to each side of the equation. 39 + -39 + 1x = 4 + -39 Combine like terms: 39 + -39 = 0 0 + 1x = 4 + -39 1x = 4 + -39 Combine like terms: 4 + -39 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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