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Simplifying 7x + 2(x + -5) = 4(x + 1) + -2 Reorder the terms: 7x + 2(-5 + x) = 4(x + 1) + -2 7x + (-5 * 2 + x * 2) = 4(x + 1) + -2 7x + (-10 + 2x) = 4(x + 1) + -2 Reorder the terms: -10 + 7x + 2x = 4(x + 1) + -2 Combine like terms: 7x + 2x = 9x -10 + 9x = 4(x + 1) + -2 Reorder the terms: -10 + 9x = 4(1 + x) + -2 -10 + 9x = (1 * 4 + x * 4) + -2 -10 + 9x = (4 + 4x) + -2 Reorder the terms: -10 + 9x = 4 + -2 + 4x Combine like terms: 4 + -2 = 2 -10 + 9x = 2 + 4x Solving -10 + 9x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 9x + -4x = 2 + 4x + -4x Combine like terms: 9x + -4x = 5x -10 + 5x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 5x = 2 + 0 -10 + 5x = 2 Add '10' to each side of the equation. -10 + 10 + 5x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 2 + 10 5x = 2 + 10 Combine like terms: 2 + 10 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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