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Simplifying x + -5(x + 2) = x + 3(3 + -2x) Reorder the terms: x + -5(2 + x) = x + 3(3 + -2x) x + (2 * -5 + x * -5) = x + 3(3 + -2x) x + (-10 + -5x) = x + 3(3 + -2x) Reorder the terms: -10 + x + -5x = x + 3(3 + -2x) Combine like terms: x + -5x = -4x -10 + -4x = x + 3(3 + -2x) -10 + -4x = x + (3 * 3 + -2x * 3) -10 + -4x = x + (9 + -6x) Reorder the terms: -10 + -4x = 9 + x + -6x Combine like terms: x + -6x = -5x -10 + -4x = 9 + -5x Solving -10 + -4x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + -4x + 5x = 9 + -5x + 5x Combine like terms: -4x + 5x = 1x -10 + 1x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 1x = 9 + 0 -10 + 1x = 9 Add '10' to each side of the equation. -10 + 10 + 1x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 9 + 10 1x = 9 + 10 Combine like terms: 9 + 10 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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