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Simplifying 9(x + -6) + 4x = 78 + 2x Reorder the terms: 9(-6 + x) + 4x = 78 + 2x (-6 * 9 + x * 9) + 4x = 78 + 2x (-54 + 9x) + 4x = 78 + 2x Combine like terms: 9x + 4x = 13x -54 + 13x = 78 + 2x Solving -54 + 13x = 78 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -54 + 13x + -2x = 78 + 2x + -2x Combine like terms: 13x + -2x = 11x -54 + 11x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 -54 + 11x = 78 + 0 -54 + 11x = 78 Add '54' to each side of the equation. -54 + 54 + 11x = 78 + 54 Combine like terms: -54 + 54 = 0 0 + 11x = 78 + 54 11x = 78 + 54 Combine like terms: 78 + 54 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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