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Simplifying 5(x + -8) + -10(3 + -1x) = 7(2 + -1x) Reorder the terms: 5(-8 + x) + -10(3 + -1x) = 7(2 + -1x) (-8 * 5 + x * 5) + -10(3 + -1x) = 7(2 + -1x) (-40 + 5x) + -10(3 + -1x) = 7(2 + -1x) -40 + 5x + (3 * -10 + -1x * -10) = 7(2 + -1x) -40 + 5x + (-30 + 10x) = 7(2 + -1x) Reorder the terms: -40 + -30 + 5x + 10x = 7(2 + -1x) Combine like terms: -40 + -30 = -70 -70 + 5x + 10x = 7(2 + -1x) Combine like terms: 5x + 10x = 15x -70 + 15x = 7(2 + -1x) -70 + 15x = (2 * 7 + -1x * 7) -70 + 15x = (14 + -7x) Solving -70 + 15x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -70 + 15x + 7x = 14 + -7x + 7x Combine like terms: 15x + 7x = 22x -70 + 22x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -70 + 22x = 14 + 0 -70 + 22x = 14 Add '70' to each side of the equation. -70 + 70 + 22x = 14 + 70 Combine like terms: -70 + 70 = 0 0 + 22x = 14 + 70 22x = 14 + 70 Combine like terms: 14 + 70 = 84 22x = 84 Divide each side by '22'. x = 3.818181818 Simplifying x = 3.818181818
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