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Simplifying 8(3x + -5) + 2(2x + 2) = 10 Reorder the terms: 8(-5 + 3x) + 2(2x + 2) = 10 (-5 * 8 + 3x * 8) + 2(2x + 2) = 10 (-40 + 24x) + 2(2x + 2) = 10 Reorder the terms: -40 + 24x + 2(2 + 2x) = 10 -40 + 24x + (2 * 2 + 2x * 2) = 10 -40 + 24x + (4 + 4x) = 10 Reorder the terms: -40 + 4 + 24x + 4x = 10 Combine like terms: -40 + 4 = -36 -36 + 24x + 4x = 10 Combine like terms: 24x + 4x = 28x -36 + 28x = 10 Solving -36 + 28x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 28x = 10 + 36 Combine like terms: -36 + 36 = 0 0 + 28x = 10 + 36 28x = 10 + 36 Combine like terms: 10 + 36 = 46 28x = 46 Divide each side by '28'. x = 1.642857143 Simplifying x = 1.642857143
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