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Simplifying 2(3x + -5) + (7 + x) + -2(x + 4) = 15 Reorder the terms: 2(-5 + 3x) + (7 + x) + -2(x + 4) = 15 (-5 * 2 + 3x * 2) + (7 + x) + -2(x + 4) = 15 (-10 + 6x) + (7 + x) + -2(x + 4) = 15 Remove parenthesis around (7 + x) -10 + 6x + 7 + x + -2(x + 4) = 15 Reorder the terms: -10 + 6x + 7 + x + -2(4 + x) = 15 -10 + 6x + 7 + x + (4 * -2 + x * -2) = 15 -10 + 6x + 7 + x + (-8 + -2x) = 15 Reorder the terms: -10 + 7 + -8 + 6x + x + -2x = 15 Combine like terms: -10 + 7 = -3 -3 + -8 + 6x + x + -2x = 15 Combine like terms: -3 + -8 = -11 -11 + 6x + x + -2x = 15 Combine like terms: 6x + x = 7x -11 + 7x + -2x = 15 Combine like terms: 7x + -2x = 5x -11 + 5x = 15 Solving -11 + 5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 5x = 15 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 15 + 11 5x = 15 + 11 Combine like terms: 15 + 11 = 26 5x = 26 Divide each side by '5'. x = 5.2 Simplifying x = 5.2
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