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Simplifying 5(2x + -8) = 3(x + -6) + -1 Reorder the terms: 5(-8 + 2x) = 3(x + -6) + -1 (-8 * 5 + 2x * 5) = 3(x + -6) + -1 (-40 + 10x) = 3(x + -6) + -1 Reorder the terms: -40 + 10x = 3(-6 + x) + -1 -40 + 10x = (-6 * 3 + x * 3) + -1 -40 + 10x = (-18 + 3x) + -1 Reorder the terms: -40 + 10x = -18 + -1 + 3x Combine like terms: -18 + -1 = -19 -40 + 10x = -19 + 3x Solving -40 + 10x = -19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 10x + -3x = -19 + 3x + -3x Combine like terms: 10x + -3x = 7x -40 + 7x = -19 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 7x = -19 + 0 -40 + 7x = -19 Add '40' to each side of the equation. -40 + 40 + 7x = -19 + 40 Combine like terms: -40 + 40 = 0 0 + 7x = -19 + 40 7x = -19 + 40 Combine like terms: -19 + 40 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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