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Simplifying 7(2x + -5) = 2(x + -3) + 8 Reorder the terms: 7(-5 + 2x) = 2(x + -3) + 8 (-5 * 7 + 2x * 7) = 2(x + -3) + 8 (-35 + 14x) = 2(x + -3) + 8 Reorder the terms: -35 + 14x = 2(-3 + x) + 8 -35 + 14x = (-3 * 2 + x * 2) + 8 -35 + 14x = (-6 + 2x) + 8 Reorder the terms: -35 + 14x = -6 + 8 + 2x Combine like terms: -6 + 8 = 2 -35 + 14x = 2 + 2x Solving -35 + 14x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + 14x + -2x = 2 + 2x + -2x Combine like terms: 14x + -2x = 12x -35 + 12x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 12x = 2 + 0 -35 + 12x = 2 Add '35' to each side of the equation. -35 + 35 + 12x = 2 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 2 + 35 12x = 2 + 35 Combine like terms: 2 + 35 = 37 12x = 37 Divide each side by '12'. x = 3.083333333 Simplifying x = 3.083333333
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