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Simplifying -8(x + 5) = 4(x + 17) Reorder the terms: -8(5 + x) = 4(x + 17) (5 * -8 + x * -8) = 4(x + 17) (-40 + -8x) = 4(x + 17) Reorder the terms: -40 + -8x = 4(17 + x) -40 + -8x = (17 * 4 + x * 4) -40 + -8x = (68 + 4x) Solving -40 + -8x = 68 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -40 + -8x + -4x = 68 + 4x + -4x Combine like terms: -8x + -4x = -12x -40 + -12x = 68 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + -12x = 68 + 0 -40 + -12x = 68 Add '40' to each side of the equation. -40 + 40 + -12x = 68 + 40 Combine like terms: -40 + 40 = 0 0 + -12x = 68 + 40 -12x = 68 + 40 Combine like terms: 68 + 40 = 108 -12x = 108 Divide each side by '-12'. x = -9 Simplifying x = -9
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