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Simplifying 5(3x + -8) = 5(x + -6) Reorder the terms: 5(-8 + 3x) = 5(x + -6) (-8 * 5 + 3x * 5) = 5(x + -6) (-40 + 15x) = 5(x + -6) Reorder the terms: -40 + 15x = 5(-6 + x) -40 + 15x = (-6 * 5 + x * 5) -40 + 15x = (-30 + 5x) Solving -40 + 15x = -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 + 15x + -5x = -30 + 5x + -5x Combine like terms: 15x + -5x = 10x -40 + 10x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 10x = -30 + 0 -40 + 10x = -30 Add '40' to each side of the equation. -40 + 40 + 10x = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = -30 + 40 10x = -30 + 40 Combine like terms: -30 + 40 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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