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Simplifying 2x + -6 + 3x = 2x + 5(x + -2) Reorder the terms: -6 + 2x + 3x = 2x + 5(x + -2) Combine like terms: 2x + 3x = 5x -6 + 5x = 2x + 5(x + -2) Reorder the terms: -6 + 5x = 2x + 5(-2 + x) -6 + 5x = 2x + (-2 * 5 + x * 5) -6 + 5x = 2x + (-10 + 5x) Reorder the terms: -6 + 5x = -10 + 2x + 5x Combine like terms: 2x + 5x = 7x -6 + 5x = -10 + 7x Solving -6 + 5x = -10 + 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. -6 + 5x + -7x = -10 + 7x + -7x Combine like terms: 5x + -7x = -2x -6 + -2x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -2x = -10 + 0 -6 + -2x = -10 Add '6' to each side of the equation. -6 + 6 + -2x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -10 + 6 -2x = -10 + 6 Combine like terms: -10 + 6 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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