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Simplifying 5(2x + -8) + -7x = x + 6 Reorder the terms: 5(-8 + 2x) + -7x = x + 6 (-8 * 5 + 2x * 5) + -7x = x + 6 (-40 + 10x) + -7x = x + 6 Combine like terms: 10x + -7x = 3x -40 + 3x = x + 6 Reorder the terms: -40 + 3x = 6 + x Solving -40 + 3x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -40 + 3x + -1x = 6 + x + -1x Combine like terms: 3x + -1x = 2x -40 + 2x = 6 + x + -1x Combine like terms: x + -1x = 0 -40 + 2x = 6 + 0 -40 + 2x = 6 Add '40' to each side of the equation. -40 + 40 + 2x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 6 + 40 2x = 6 + 40 Combine like terms: 6 + 40 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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