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Simplifying 3(7x + -3) + -4(2x + -10) = 3(4x + 5) + -1 Reorder the terms: 3(-3 + 7x) + -4(2x + -10) = 3(4x + 5) + -1 (-3 * 3 + 7x * 3) + -4(2x + -10) = 3(4x + 5) + -1 (-9 + 21x) + -4(2x + -10) = 3(4x + 5) + -1 Reorder the terms: -9 + 21x + -4(-10 + 2x) = 3(4x + 5) + -1 -9 + 21x + (-10 * -4 + 2x * -4) = 3(4x + 5) + -1 -9 + 21x + (40 + -8x) = 3(4x + 5) + -1 Reorder the terms: -9 + 40 + 21x + -8x = 3(4x + 5) + -1 Combine like terms: -9 + 40 = 31 31 + 21x + -8x = 3(4x + 5) + -1 Combine like terms: 21x + -8x = 13x 31 + 13x = 3(4x + 5) + -1 Reorder the terms: 31 + 13x = 3(5 + 4x) + -1 31 + 13x = (5 * 3 + 4x * 3) + -1 31 + 13x = (15 + 12x) + -1 Reorder the terms: 31 + 13x = 15 + -1 + 12x Combine like terms: 15 + -1 = 14 31 + 13x = 14 + 12x Solving 31 + 13x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 31 + 13x + -12x = 14 + 12x + -12x Combine like terms: 13x + -12x = 1x 31 + 1x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 31 + 1x = 14 + 0 31 + 1x = 14 Add '-31' to each side of the equation. 31 + -31 + 1x = 14 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 14 + -31 1x = 14 + -31 Combine like terms: 14 + -31 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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