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Simplifying 8x + -5(4x + 3) = -3 + -4(2x + -7) Reorder the terms: 8x + -5(3 + 4x) = -3 + -4(2x + -7) 8x + (3 * -5 + 4x * -5) = -3 + -4(2x + -7) 8x + (-15 + -20x) = -3 + -4(2x + -7) Reorder the terms: -15 + 8x + -20x = -3 + -4(2x + -7) Combine like terms: 8x + -20x = -12x -15 + -12x = -3 + -4(2x + -7) Reorder the terms: -15 + -12x = -3 + -4(-7 + 2x) -15 + -12x = -3 + (-7 * -4 + 2x * -4) -15 + -12x = -3 + (28 + -8x) Combine like terms: -3 + 28 = 25 -15 + -12x = 25 + -8x Solving -15 + -12x = 25 + -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. -15 + -12x + 8x = 25 + -8x + 8x Combine like terms: -12x + 8x = -4x -15 + -4x = 25 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + -4x = 25 + 0 -15 + -4x = 25 Add '15' to each side of the equation. -15 + 15 + -4x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 25 + 15 -4x = 25 + 15 Combine like terms: 25 + 15 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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