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Simplifying 5x + -2(x + 5) = x + -1(2x + 15) Reorder the terms: 5x + -2(5 + x) = x + -1(2x + 15) 5x + (5 * -2 + x * -2) = x + -1(2x + 15) 5x + (-10 + -2x) = x + -1(2x + 15) Reorder the terms: -10 + 5x + -2x = x + -1(2x + 15) Combine like terms: 5x + -2x = 3x -10 + 3x = x + -1(2x + 15) Reorder the terms: -10 + 3x = x + -1(15 + 2x) -10 + 3x = x + (15 * -1 + 2x * -1) -10 + 3x = x + (-15 + -2x) Reorder the terms: -10 + 3x = -15 + x + -2x Combine like terms: x + -2x = -1x -10 + 3x = -15 + -1x Solving -10 + 3x = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 3x + x = -15 + -1x + x Combine like terms: 3x + x = 4x -10 + 4x = -15 + -1x + x Combine like terms: -1x + x = 0 -10 + 4x = -15 + 0 -10 + 4x = -15 Add '10' to each side of the equation. -10 + 10 + 4x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -15 + 10 4x = -15 + 10 Combine like terms: -15 + 10 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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