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Simplifying 6 + -3x + 5(x + -7) = 5(x + -8) Reorder the terms: 6 + -3x + 5(-7 + x) = 5(x + -8) 6 + -3x + (-7 * 5 + x * 5) = 5(x + -8) 6 + -3x + (-35 + 5x) = 5(x + -8) Reorder the terms: 6 + -35 + -3x + 5x = 5(x + -8) Combine like terms: 6 + -35 = -29 -29 + -3x + 5x = 5(x + -8) Combine like terms: -3x + 5x = 2x -29 + 2x = 5(x + -8) Reorder the terms: -29 + 2x = 5(-8 + x) -29 + 2x = (-8 * 5 + x * 5) -29 + 2x = (-40 + 5x) Solving -29 + 2x = -40 + 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. -29 + 2x + -5x = -40 + 5x + -5x Combine like terms: 2x + -5x = -3x -29 + -3x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + -3x = -40 + 0 -29 + -3x = -40 Add '29' to each side of the equation. -29 + 29 + -3x = -40 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = -40 + 29 -3x = -40 + 29 Combine like terms: -40 + 29 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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