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Simplifying 8(x + -5) = -3(x + -17) Reorder the terms: 8(-5 + x) = -3(x + -17) (-5 * 8 + x * 8) = -3(x + -17) (-40 + 8x) = -3(x + -17) Reorder the terms: -40 + 8x = -3(-17 + x) -40 + 8x = (-17 * -3 + x * -3) -40 + 8x = (51 + -3x) Solving -40 + 8x = 51 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -40 + 8x + 3x = 51 + -3x + 3x Combine like terms: 8x + 3x = 11x -40 + 11x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 -40 + 11x = 51 + 0 -40 + 11x = 51 Add '40' to each side of the equation. -40 + 40 + 11x = 51 + 40 Combine like terms: -40 + 40 = 0 0 + 11x = 51 + 40 11x = 51 + 40 Combine like terms: 51 + 40 = 91 11x = 91 Divide each side by '11'. x = 8.272727273 Simplifying x = 8.272727273
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