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Simplifying 3(x + -2) + -5 = 15 + -2(x + 3) Reorder the terms: 3(-2 + x) + -5 = 15 + -2(x + 3) (-2 * 3 + x * 3) + -5 = 15 + -2(x + 3) (-6 + 3x) + -5 = 15 + -2(x + 3) Reorder the terms: -6 + -5 + 3x = 15 + -2(x + 3) Combine like terms: -6 + -5 = -11 -11 + 3x = 15 + -2(x + 3) Reorder the terms: -11 + 3x = 15 + -2(3 + x) -11 + 3x = 15 + (3 * -2 + x * -2) -11 + 3x = 15 + (-6 + -2x) Combine like terms: 15 + -6 = 9 -11 + 3x = 9 + -2x Solving -11 + 3x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -11 + 3x + 2x = 9 + -2x + 2x Combine like terms: 3x + 2x = 5x -11 + 5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 5x = 9 + 0 -11 + 5x = 9 Add '11' to each side of the equation. -11 + 11 + 5x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 9 + 11 5x = 9 + 11 Combine like terms: 9 + 11 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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