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Simplifying -4(1 + x) = 2x + -8(5 + 3x) (1 * -4 + x * -4) = 2x + -8(5 + 3x) (-4 + -4x) = 2x + -8(5 + 3x) -4 + -4x = 2x + (5 * -8 + 3x * -8) -4 + -4x = 2x + (-40 + -24x) Reorder the terms: -4 + -4x = -40 + 2x + -24x Combine like terms: 2x + -24x = -22x -4 + -4x = -40 + -22x Solving -4 + -4x = -40 + -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. -4 + -4x + 22x = -40 + -22x + 22x Combine like terms: -4x + 22x = 18x -4 + 18x = -40 + -22x + 22x Combine like terms: -22x + 22x = 0 -4 + 18x = -40 + 0 -4 + 18x = -40 Add '4' to each side of the equation. -4 + 4 + 18x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = -40 + 4 18x = -40 + 4 Combine like terms: -40 + 4 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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