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Simplifying 2 + 6(x + -7) = 1 + -9(x + -6) Reorder the terms: 2 + 6(-7 + x) = 1 + -9(x + -6) 2 + (-7 * 6 + x * 6) = 1 + -9(x + -6) 2 + (-42 + 6x) = 1 + -9(x + -6) Combine like terms: 2 + -42 = -40 -40 + 6x = 1 + -9(x + -6) Reorder the terms: -40 + 6x = 1 + -9(-6 + x) -40 + 6x = 1 + (-6 * -9 + x * -9) -40 + 6x = 1 + (54 + -9x) Combine like terms: 1 + 54 = 55 -40 + 6x = 55 + -9x Solving -40 + 6x = 55 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -40 + 6x + 9x = 55 + -9x + 9x Combine like terms: 6x + 9x = 15x -40 + 15x = 55 + -9x + 9x Combine like terms: -9x + 9x = 0 -40 + 15x = 55 + 0 -40 + 15x = 55 Add '40' to each side of the equation. -40 + 40 + 15x = 55 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = 55 + 40 15x = 55 + 40 Combine like terms: 55 + 40 = 95 15x = 95 Divide each side by '15'. x = 6.333333333 Simplifying x = 6.333333333
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