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Simplifying 6(x + -4) + x = 5(x + -2) Reorder the terms: 6(-4 + x) + x = 5(x + -2) (-4 * 6 + x * 6) + x = 5(x + -2) (-24 + 6x) + x = 5(x + -2) Combine like terms: 6x + x = 7x -24 + 7x = 5(x + -2) Reorder the terms: -24 + 7x = 5(-2 + x) -24 + 7x = (-2 * 5 + x * 5) -24 + 7x = (-10 + 5x) Solving -24 + 7x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 7x + -5x = -10 + 5x + -5x Combine like terms: 7x + -5x = 2x -24 + 2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 2x = -10 + 0 -24 + 2x = -10 Add '24' to each side of the equation. -24 + 24 + 2x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -10 + 24 2x = -10 + 24 Combine like terms: -10 + 24 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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