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Simplifying 10(3x + -7) + -8(x + 5) = 0 Reorder the terms: 10(-7 + 3x) + -8(x + 5) = 0 (-7 * 10 + 3x * 10) + -8(x + 5) = 0 (-70 + 30x) + -8(x + 5) = 0 Reorder the terms: -70 + 30x + -8(5 + x) = 0 -70 + 30x + (5 * -8 + x * -8) = 0 -70 + 30x + (-40 + -8x) = 0 Reorder the terms: -70 + -40 + 30x + -8x = 0 Combine like terms: -70 + -40 = -110 -110 + 30x + -8x = 0 Combine like terms: 30x + -8x = 22x -110 + 22x = 0 Solving -110 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + 22x = 0 + 110 Combine like terms: -110 + 110 = 0 0 + 22x = 0 + 110 22x = 0 + 110 Combine like terms: 0 + 110 = 110 22x = 110 Divide each side by '22'. x = 5 Simplifying x = 5
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