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Simplifying 7x + -2(x + 5) = 2(x + -2) + 4 Reorder the terms: 7x + -2(5 + x) = 2(x + -2) + 4 7x + (5 * -2 + x * -2) = 2(x + -2) + 4 7x + (-10 + -2x) = 2(x + -2) + 4 Reorder the terms: -10 + 7x + -2x = 2(x + -2) + 4 Combine like terms: 7x + -2x = 5x -10 + 5x = 2(x + -2) + 4 Reorder the terms: -10 + 5x = 2(-2 + x) + 4 -10 + 5x = (-2 * 2 + x * 2) + 4 -10 + 5x = (-4 + 2x) + 4 Reorder the terms: -10 + 5x = -4 + 4 + 2x Combine like terms: -4 + 4 = 0 -10 + 5x = 0 + 2x -10 + 5x = 2x Solving -10 + 5x = 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. -10 + 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = 0 Add '10' to each side of the equation. -10 + 10 + 3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 0 + 10 3x = 0 + 10 Combine like terms: 0 + 10 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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