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Simplifying 8(x + -5) = 2(3x + -8) Reorder the terms: 8(-5 + x) = 2(3x + -8) (-5 * 8 + x * 8) = 2(3x + -8) (-40 + 8x) = 2(3x + -8) Reorder the terms: -40 + 8x = 2(-8 + 3x) -40 + 8x = (-8 * 2 + 3x * 2) -40 + 8x = (-16 + 6x) Solving -40 + 8x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -40 + 8x + -6x = -16 + 6x + -6x Combine like terms: 8x + -6x = 2x -40 + 2x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 2x = -16 + 0 -40 + 2x = -16 Add '40' to each side of the equation. -40 + 40 + 2x = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = -16 + 40 2x = -16 + 40 Combine like terms: -16 + 40 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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