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Simplifying 10(3x + -4) = 5(x + 8) + -10 Reorder the terms: 10(-4 + 3x) = 5(x + 8) + -10 (-4 * 10 + 3x * 10) = 5(x + 8) + -10 (-40 + 30x) = 5(x + 8) + -10 Reorder the terms: -40 + 30x = 5(8 + x) + -10 -40 + 30x = (8 * 5 + x * 5) + -10 -40 + 30x = (40 + 5x) + -10 Reorder the terms: -40 + 30x = 40 + -10 + 5x Combine like terms: 40 + -10 = 30 -40 + 30x = 30 + 5x Solving -40 + 30x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + 30x + -5x = 30 + 5x + -5x Combine like terms: 30x + -5x = 25x -40 + 25x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 25x = 30 + 0 -40 + 25x = 30 Add '40' to each side of the equation. -40 + 40 + 25x = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 25x = 30 + 40 25x = 30 + 40 Combine like terms: 30 + 40 = 70 25x = 70 Divide each side by '25'. x = 2.8 Simplifying x = 2.8
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