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Simplifying 7(2x + -5) = 2(5x + -6) Reorder the terms: 7(-5 + 2x) = 2(5x + -6) (-5 * 7 + 2x * 7) = 2(5x + -6) (-35 + 14x) = 2(5x + -6) Reorder the terms: -35 + 14x = 2(-6 + 5x) -35 + 14x = (-6 * 2 + 5x * 2) -35 + 14x = (-12 + 10x) Solving -35 + 14x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -35 + 14x + -10x = -12 + 10x + -10x Combine like terms: 14x + -10x = 4x -35 + 4x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -35 + 4x = -12 + 0 -35 + 4x = -12 Add '35' to each side of the equation. -35 + 35 + 4x = -12 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = -12 + 35 4x = -12 + 35 Combine like terms: -12 + 35 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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