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Simplifying 3(7x + -1) + 4(15 + -3x) = 2(4x + 5) + -7 Reorder the terms: 3(-1 + 7x) + 4(15 + -3x) = 2(4x + 5) + -7 (-1 * 3 + 7x * 3) + 4(15 + -3x) = 2(4x + 5) + -7 (-3 + 21x) + 4(15 + -3x) = 2(4x + 5) + -7 -3 + 21x + (15 * 4 + -3x * 4) = 2(4x + 5) + -7 -3 + 21x + (60 + -12x) = 2(4x + 5) + -7 Reorder the terms: -3 + 60 + 21x + -12x = 2(4x + 5) + -7 Combine like terms: -3 + 60 = 57 57 + 21x + -12x = 2(4x + 5) + -7 Combine like terms: 21x + -12x = 9x 57 + 9x = 2(4x + 5) + -7 Reorder the terms: 57 + 9x = 2(5 + 4x) + -7 57 + 9x = (5 * 2 + 4x * 2) + -7 57 + 9x = (10 + 8x) + -7 Reorder the terms: 57 + 9x = 10 + -7 + 8x Combine like terms: 10 + -7 = 3 57 + 9x = 3 + 8x Solving 57 + 9x = 3 + 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. 57 + 9x + -8x = 3 + 8x + -8x Combine like terms: 9x + -8x = 1x 57 + 1x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 57 + 1x = 3 + 0 57 + 1x = 3 Add '-57' to each side of the equation. 57 + -57 + 1x = 3 + -57 Combine like terms: 57 + -57 = 0 0 + 1x = 3 + -57 1x = 3 + -57 Combine like terms: 3 + -57 = -54 1x = -54 Divide each side by '1'. x = -54 Simplifying x = -54
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