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Simplifying 2x + -3 = 5x + 2(x + 9) Reorder the terms: -3 + 2x = 5x + 2(x + 9) Reorder the terms: -3 + 2x = 5x + 2(9 + x) -3 + 2x = 5x + (9 * 2 + x * 2) -3 + 2x = 5x + (18 + 2x) Reorder the terms: -3 + 2x = 18 + 5x + 2x Combine like terms: 5x + 2x = 7x -3 + 2x = 18 + 7x Solving -3 + 2x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 2x + -7x = 18 + 7x + -7x Combine like terms: 2x + -7x = -5x -3 + -5x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -5x = 18 + 0 -3 + -5x = 18 Add '3' to each side of the equation. -3 + 3 + -5x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 18 + 3 -5x = 18 + 3 Combine like terms: 18 + 3 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2
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