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Simplifying 7(3x + -5) + 4(15 + -3x) = 2(4x + 4) + -3 Reorder the terms: 7(-5 + 3x) + 4(15 + -3x) = 2(4x + 4) + -3 (-5 * 7 + 3x * 7) + 4(15 + -3x) = 2(4x + 4) + -3 (-35 + 21x) + 4(15 + -3x) = 2(4x + 4) + -3 -35 + 21x + (15 * 4 + -3x * 4) = 2(4x + 4) + -3 -35 + 21x + (60 + -12x) = 2(4x + 4) + -3 Reorder the terms: -35 + 60 + 21x + -12x = 2(4x + 4) + -3 Combine like terms: -35 + 60 = 25 25 + 21x + -12x = 2(4x + 4) + -3 Combine like terms: 21x + -12x = 9x 25 + 9x = 2(4x + 4) + -3 Reorder the terms: 25 + 9x = 2(4 + 4x) + -3 25 + 9x = (4 * 2 + 4x * 2) + -3 25 + 9x = (8 + 8x) + -3 Reorder the terms: 25 + 9x = 8 + -3 + 8x Combine like terms: 8 + -3 = 5 25 + 9x = 5 + 8x Solving 25 + 9x = 5 + 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. 25 + 9x + -8x = 5 + 8x + -8x Combine like terms: 9x + -8x = 1x 25 + 1x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 1x = 5 + 0 25 + 1x = 5 Add '-25' to each side of the equation. 25 + -25 + 1x = 5 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 5 + -25 1x = 5 + -25 Combine like terms: 5 + -25 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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