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Simplifying 7(3x + -3) + 2(19 + -4x) = 4(3x + 5) + -5 Reorder the terms: 7(-3 + 3x) + 2(19 + -4x) = 4(3x + 5) + -5 (-3 * 7 + 3x * 7) + 2(19 + -4x) = 4(3x + 5) + -5 (-21 + 21x) + 2(19 + -4x) = 4(3x + 5) + -5 -21 + 21x + (19 * 2 + -4x * 2) = 4(3x + 5) + -5 -21 + 21x + (38 + -8x) = 4(3x + 5) + -5 Reorder the terms: -21 + 38 + 21x + -8x = 4(3x + 5) + -5 Combine like terms: -21 + 38 = 17 17 + 21x + -8x = 4(3x + 5) + -5 Combine like terms: 21x + -8x = 13x 17 + 13x = 4(3x + 5) + -5 Reorder the terms: 17 + 13x = 4(5 + 3x) + -5 17 + 13x = (5 * 4 + 3x * 4) + -5 17 + 13x = (20 + 12x) + -5 Reorder the terms: 17 + 13x = 20 + -5 + 12x Combine like terms: 20 + -5 = 15 17 + 13x = 15 + 12x Solving 17 + 13x = 15 + 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. 17 + 13x + -12x = 15 + 12x + -12x Combine like terms: 13x + -12x = 1x 17 + 1x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + 1x = 15 + 0 17 + 1x = 15 Add '-17' to each side of the equation. 17 + -17 + 1x = 15 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 15 + -17 1x = 15 + -17 Combine like terms: 15 + -17 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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