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Simplifying 8(x + -5) = 21(3x + -8) Reorder the terms: 8(-5 + x) = 21(3x + -8) (-5 * 8 + x * 8) = 21(3x + -8) (-40 + 8x) = 21(3x + -8) Reorder the terms: -40 + 8x = 21(-8 + 3x) -40 + 8x = (-8 * 21 + 3x * 21) -40 + 8x = (-168 + 63x) Solving -40 + 8x = -168 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -40 + 8x + -63x = -168 + 63x + -63x Combine like terms: 8x + -63x = -55x -40 + -55x = -168 + 63x + -63x Combine like terms: 63x + -63x = 0 -40 + -55x = -168 + 0 -40 + -55x = -168 Add '40' to each side of the equation. -40 + 40 + -55x = -168 + 40 Combine like terms: -40 + 40 = 0 0 + -55x = -168 + 40 -55x = -168 + 40 Combine like terms: -168 + 40 = -128 -55x = -128 Divide each side by '-55'. x = 2.327272727 Simplifying x = 2.327272727
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