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Simplifying 5(3x + -8) = 12 + x Reorder the terms: 5(-8 + 3x) = 12 + x (-8 * 5 + 3x * 5) = 12 + x (-40 + 15x) = 12 + x Solving -40 + 15x = 12 + 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 + 15x + -1x = 12 + x + -1x Combine like terms: 15x + -1x = 14x -40 + 14x = 12 + x + -1x Combine like terms: x + -1x = 0 -40 + 14x = 12 + 0 -40 + 14x = 12 Add '40' to each side of the equation. -40 + 40 + 14x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 14x = 12 + 40 14x = 12 + 40 Combine like terms: 12 + 40 = 52 14x = 52 Divide each side by '14'. x = 3.714285714 Simplifying x = 3.714285714
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