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Simplifying x + 2(x + -5) = 7 + -5(2x + 3) Reorder the terms: x + 2(-5 + x) = 7 + -5(2x + 3) x + (-5 * 2 + x * 2) = 7 + -5(2x + 3) x + (-10 + 2x) = 7 + -5(2x + 3) Reorder the terms: -10 + x + 2x = 7 + -5(2x + 3) Combine like terms: x + 2x = 3x -10 + 3x = 7 + -5(2x + 3) Reorder the terms: -10 + 3x = 7 + -5(3 + 2x) -10 + 3x = 7 + (3 * -5 + 2x * -5) -10 + 3x = 7 + (-15 + -10x) Combine like terms: 7 + -15 = -8 -10 + 3x = -8 + -10x Solving -10 + 3x = -8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -10 + 3x + 10x = -8 + -10x + 10x Combine like terms: 3x + 10x = 13x -10 + 13x = -8 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 13x = -8 + 0 -10 + 13x = -8 Add '10' to each side of the equation. -10 + 10 + 13x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = -8 + 10 13x = -8 + 10 Combine like terms: -8 + 10 = 2 13x = 2 Divide each side by '13'. x = 0.1538461538 Simplifying x = 0.1538461538
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