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Simplifying 3x + -4 = -8(x + -5) Reorder the terms: -4 + 3x = -8(x + -5) Reorder the terms: -4 + 3x = -8(-5 + x) -4 + 3x = (-5 * -8 + x * -8) -4 + 3x = (40 + -8x) Solving -4 + 3x = 40 + -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. -4 + 3x + 8x = 40 + -8x + 8x Combine like terms: 3x + 8x = 11x -4 + 11x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 11x = 40 + 0 -4 + 11x = 40 Add '4' to each side of the equation. -4 + 4 + 11x = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 40 + 4 11x = 40 + 4 Combine like terms: 40 + 4 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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