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Simplifying 8(6x + 2) = 8(2x + -5) Reorder the terms: 8(2 + 6x) = 8(2x + -5) (2 * 8 + 6x * 8) = 8(2x + -5) (16 + 48x) = 8(2x + -5) Reorder the terms: 16 + 48x = 8(-5 + 2x) 16 + 48x = (-5 * 8 + 2x * 8) 16 + 48x = (-40 + 16x) Solving 16 + 48x = -40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 16 + 48x + -16x = -40 + 16x + -16x Combine like terms: 48x + -16x = 32x 16 + 32x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 16 + 32x = -40 + 0 16 + 32x = -40 Add '-16' to each side of the equation. 16 + -16 + 32x = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 32x = -40 + -16 32x = -40 + -16 Combine like terms: -40 + -16 = -56 32x = -56 Divide each side by '32'. x = -1.75 Simplifying x = -1.75
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