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Simplifying 4(6x + -10) = 8x + 40 Reorder the terms: 4(-10 + 6x) = 8x + 40 (-10 * 4 + 6x * 4) = 8x + 40 (-40 + 24x) = 8x + 40 Reorder the terms: -40 + 24x = 40 + 8x Solving -40 + 24x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -40 + 24x + -8x = 40 + 8x + -8x Combine like terms: 24x + -8x = 16x -40 + 16x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 16x = 40 + 0 -40 + 16x = 40 Add '40' to each side of the equation. -40 + 40 + 16x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 16x = 40 + 40 16x = 40 + 40 Combine like terms: 40 + 40 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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