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Simplifying 8x + -5(4x + 7) = 2 + 4(2x + -3) Reorder the terms: 8x + -5(7 + 4x) = 2 + 4(2x + -3) 8x + (7 * -5 + 4x * -5) = 2 + 4(2x + -3) 8x + (-35 + -20x) = 2 + 4(2x + -3) Reorder the terms: -35 + 8x + -20x = 2 + 4(2x + -3) Combine like terms: 8x + -20x = -12x -35 + -12x = 2 + 4(2x + -3) Reorder the terms: -35 + -12x = 2 + 4(-3 + 2x) -35 + -12x = 2 + (-3 * 4 + 2x * 4) -35 + -12x = 2 + (-12 + 8x) Combine like terms: 2 + -12 = -10 -35 + -12x = -10 + 8x Solving -35 + -12x = -10 + 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. -35 + -12x + -8x = -10 + 8x + -8x Combine like terms: -12x + -8x = -20x -35 + -20x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -20x = -10 + 0 -35 + -20x = -10 Add '35' to each side of the equation. -35 + 35 + -20x = -10 + 35 Combine like terms: -35 + 35 = 0 0 + -20x = -10 + 35 -20x = -10 + 35 Combine like terms: -10 + 35 = 25 -20x = 25 Divide each side by '-20'. x = -1.25 Simplifying x = -1.25
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