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Simplifying -8 + -3(7x + 4) = 2(4x + -17) + -5(6x + -3) Reorder the terms: -8 + -3(4 + 7x) = 2(4x + -17) + -5(6x + -3) -8 + (4 * -3 + 7x * -3) = 2(4x + -17) + -5(6x + -3) -8 + (-12 + -21x) = 2(4x + -17) + -5(6x + -3) Combine like terms: -8 + -12 = -20 -20 + -21x = 2(4x + -17) + -5(6x + -3) Reorder the terms: -20 + -21x = 2(-17 + 4x) + -5(6x + -3) -20 + -21x = (-17 * 2 + 4x * 2) + -5(6x + -3) -20 + -21x = (-34 + 8x) + -5(6x + -3) Reorder the terms: -20 + -21x = -34 + 8x + -5(-3 + 6x) -20 + -21x = -34 + 8x + (-3 * -5 + 6x * -5) -20 + -21x = -34 + 8x + (15 + -30x) Reorder the terms: -20 + -21x = -34 + 15 + 8x + -30x Combine like terms: -34 + 15 = -19 -20 + -21x = -19 + 8x + -30x Combine like terms: 8x + -30x = -22x -20 + -21x = -19 + -22x Solving -20 + -21x = -19 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -20 + -21x + 22x = -19 + -22x + 22x Combine like terms: -21x + 22x = 1x -20 + 1x = -19 + -22x + 22x Combine like terms: -22x + 22x = 0 -20 + 1x = -19 + 0 -20 + 1x = -19 Add '20' to each side of the equation. -20 + 20 + 1x = -19 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -19 + 20 1x = -19 + 20 Combine like terms: -19 + 20 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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