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Simplifying 3(7x + -2) + -2(4x + -17) = 3(4x + 4) + -5 Reorder the terms: 3(-2 + 7x) + -2(4x + -17) = 3(4x + 4) + -5 (-2 * 3 + 7x * 3) + -2(4x + -17) = 3(4x + 4) + -5 (-6 + 21x) + -2(4x + -17) = 3(4x + 4) + -5 Reorder the terms: -6 + 21x + -2(-17 + 4x) = 3(4x + 4) + -5 -6 + 21x + (-17 * -2 + 4x * -2) = 3(4x + 4) + -5 -6 + 21x + (34 + -8x) = 3(4x + 4) + -5 Reorder the terms: -6 + 34 + 21x + -8x = 3(4x + 4) + -5 Combine like terms: -6 + 34 = 28 28 + 21x + -8x = 3(4x + 4) + -5 Combine like terms: 21x + -8x = 13x 28 + 13x = 3(4x + 4) + -5 Reorder the terms: 28 + 13x = 3(4 + 4x) + -5 28 + 13x = (4 * 3 + 4x * 3) + -5 28 + 13x = (12 + 12x) + -5 Reorder the terms: 28 + 13x = 12 + -5 + 12x Combine like terms: 12 + -5 = 7 28 + 13x = 7 + 12x Solving 28 + 13x = 7 + 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. 28 + 13x + -12x = 7 + 12x + -12x Combine like terms: 13x + -12x = 1x 28 + 1x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + 1x = 7 + 0 28 + 1x = 7 Add '-28' to each side of the equation. 28 + -28 + 1x = 7 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 7 + -28 1x = 7 + -28 Combine like terms: 7 + -28 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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