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Simplifying x + 3(x + -5) = x + -2(x + 5) Reorder the terms: x + 3(-5 + x) = x + -2(x + 5) x + (-5 * 3 + x * 3) = x + -2(x + 5) x + (-15 + 3x) = x + -2(x + 5) Reorder the terms: -15 + x + 3x = x + -2(x + 5) Combine like terms: x + 3x = 4x -15 + 4x = x + -2(x + 5) Reorder the terms: -15 + 4x = x + -2(5 + x) -15 + 4x = x + (5 * -2 + x * -2) -15 + 4x = x + (-10 + -2x) Reorder the terms: -15 + 4x = -10 + x + -2x Combine like terms: x + -2x = -1x -15 + 4x = -10 + -1x Solving -15 + 4x = -10 + -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. -15 + 4x + x = -10 + -1x + x Combine like terms: 4x + x = 5x -15 + 5x = -10 + -1x + x Combine like terms: -1x + x = 0 -15 + 5x = -10 + 0 -15 + 5x = -10 Add '15' to each side of the equation. -15 + 15 + 5x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -10 + 15 5x = -10 + 15 Combine like terms: -10 + 15 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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