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Simplifying 7(x + -2) + -5x = 10 + -2(x + 4) Reorder the terms: 7(-2 + x) + -5x = 10 + -2(x + 4) (-2 * 7 + x * 7) + -5x = 10 + -2(x + 4) (-14 + 7x) + -5x = 10 + -2(x + 4) Combine like terms: 7x + -5x = 2x -14 + 2x = 10 + -2(x + 4) Reorder the terms: -14 + 2x = 10 + -2(4 + x) -14 + 2x = 10 + (4 * -2 + x * -2) -14 + 2x = 10 + (-8 + -2x) Combine like terms: 10 + -8 = 2 -14 + 2x = 2 + -2x Solving -14 + 2x = 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. -14 + 2x + 2x = 2 + -2x + 2x Combine like terms: 2x + 2x = 4x -14 + 4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 4x = 2 + 0 -14 + 4x = 2 Add '14' to each side of the equation. -14 + 14 + 4x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 2 + 14 4x = 2 + 14 Combine like terms: 2 + 14 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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