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Simplifying 3(7x + -5) + 3(15 + -4x) = 2(4x + 1) + -1 Reorder the terms: 3(-5 + 7x) + 3(15 + -4x) = 2(4x + 1) + -1 (-5 * 3 + 7x * 3) + 3(15 + -4x) = 2(4x + 1) + -1 (-15 + 21x) + 3(15 + -4x) = 2(4x + 1) + -1 -15 + 21x + (15 * 3 + -4x * 3) = 2(4x + 1) + -1 -15 + 21x + (45 + -12x) = 2(4x + 1) + -1 Reorder the terms: -15 + 45 + 21x + -12x = 2(4x + 1) + -1 Combine like terms: -15 + 45 = 30 30 + 21x + -12x = 2(4x + 1) + -1 Combine like terms: 21x + -12x = 9x 30 + 9x = 2(4x + 1) + -1 Reorder the terms: 30 + 9x = 2(1 + 4x) + -1 30 + 9x = (1 * 2 + 4x * 2) + -1 30 + 9x = (2 + 8x) + -1 Reorder the terms: 30 + 9x = 2 + -1 + 8x Combine like terms: 2 + -1 = 1 30 + 9x = 1 + 8x Solving 30 + 9x = 1 + 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. 30 + 9x + -8x = 1 + 8x + -8x Combine like terms: 9x + -8x = 1x 30 + 1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 1x = 1 + 0 30 + 1x = 1 Add '-30' to each side of the equation. 30 + -30 + 1x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 1 + -30 1x = 1 + -30 Combine like terms: 1 + -30 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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