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Simplifying 5x + 6x + 3 + 9 = 6x + 5 + 4x Reorder the terms: 3 + 9 + 5x + 6x = 6x + 5 + 4x Combine like terms: 3 + 9 = 12 12 + 5x + 6x = 6x + 5 + 4x Combine like terms: 5x + 6x = 11x 12 + 11x = 6x + 5 + 4x Reorder the terms: 12 + 11x = 5 + 6x + 4x Combine like terms: 6x + 4x = 10x 12 + 11x = 5 + 10x Solving 12 + 11x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 11x + -10x = 5 + 10x + -10x Combine like terms: 11x + -10x = 1x 12 + 1x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 1x = 5 + 0 12 + 1x = 5 Add '-12' to each side of the equation. 12 + -12 + 1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 5 + -12 1x = 5 + -12 Combine like terms: 5 + -12 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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