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Simplifying 4x + -6 + -7x + 9 = 3(x + 2) Reorder the terms: -6 + 9 + 4x + -7x = 3(x + 2) Combine like terms: -6 + 9 = 3 3 + 4x + -7x = 3(x + 2) Combine like terms: 4x + -7x = -3x 3 + -3x = 3(x + 2) Reorder the terms: 3 + -3x = 3(2 + x) 3 + -3x = (2 * 3 + x * 3) 3 + -3x = (6 + 3x) Solving 3 + -3x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -3x + -3x = 6 + 3x + -3x Combine like terms: -3x + -3x = -6x 3 + -6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -6x = 6 + 0 3 + -6x = 6 Add '-3' to each side of the equation. 3 + -3 + -6x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 6 + -3 -6x = 6 + -3 Combine like terms: 6 + -3 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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