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Simplifying 9x + 5 + -6 = 2(1 + 3x) + -6(x + -4) Reorder the terms: 5 + -6 + 9x = 2(1 + 3x) + -6(x + -4) Combine like terms: 5 + -6 = -1 -1 + 9x = 2(1 + 3x) + -6(x + -4) -1 + 9x = (1 * 2 + 3x * 2) + -6(x + -4) -1 + 9x = (2 + 6x) + -6(x + -4) Reorder the terms: -1 + 9x = 2 + 6x + -6(-4 + x) -1 + 9x = 2 + 6x + (-4 * -6 + x * -6) -1 + 9x = 2 + 6x + (24 + -6x) Reorder the terms: -1 + 9x = 2 + 24 + 6x + -6x Combine like terms: 2 + 24 = 26 -1 + 9x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 9x = 26 + 0 -1 + 9x = 26 Solving -1 + 9x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9x = 26 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 26 + 1 9x = 26 + 1 Combine like terms: 26 + 1 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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