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Simplifying 8x + 8(x + -5) = 10x + x + -5 Reorder the terms: 8x + 8(-5 + x) = 10x + x + -5 8x + (-5 * 8 + x * 8) = 10x + x + -5 8x + (-40 + 8x) = 10x + x + -5 Reorder the terms: -40 + 8x + 8x = 10x + x + -5 Combine like terms: 8x + 8x = 16x -40 + 16x = 10x + x + -5 Reorder the terms: -40 + 16x = -5 + 10x + x Combine like terms: 10x + x = 11x -40 + 16x = -5 + 11x Solving -40 + 16x = -5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -40 + 16x + -11x = -5 + 11x + -11x Combine like terms: 16x + -11x = 5x -40 + 5x = -5 + 11x + -11x Combine like terms: 11x + -11x = 0 -40 + 5x = -5 + 0 -40 + 5x = -5 Add '40' to each side of the equation. -40 + 40 + 5x = -5 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = -5 + 40 5x = -5 + 40 Combine like terms: -5 + 40 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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