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Simplifying 7(2x + -6) = 5(2x + -4) Reorder the terms: 7(-6 + 2x) = 5(2x + -4) (-6 * 7 + 2x * 7) = 5(2x + -4) (-42 + 14x) = 5(2x + -4) Reorder the terms: -42 + 14x = 5(-4 + 2x) -42 + 14x = (-4 * 5 + 2x * 5) -42 + 14x = (-20 + 10x) Solving -42 + 14x = -20 + 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. -42 + 14x + -10x = -20 + 10x + -10x Combine like terms: 14x + -10x = 4x -42 + 4x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -42 + 4x = -20 + 0 -42 + 4x = -20 Add '42' to each side of the equation. -42 + 42 + 4x = -20 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = -20 + 42 4x = -20 + 42 Combine like terms: -20 + 42 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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