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Simplifying 4x + 2x + 6 = 5x + -2x + -9 Reorder the terms: 6 + 4x + 2x = 5x + -2x + -9 Combine like terms: 4x + 2x = 6x 6 + 6x = 5x + -2x + -9 Reorder the terms: 6 + 6x = -9 + 5x + -2x Combine like terms: 5x + -2x = 3x 6 + 6x = -9 + 3x Solving 6 + 6x = -9 + 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. 6 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = -9 + 0 6 + 3x = -9 Add '-6' to each side of the equation. 6 + -6 + 3x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -9 + -6 3x = -9 + -6 Combine like terms: -9 + -6 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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