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Simplifying 1 + 3(x + -9) = 10 + -6(x + -7) Reorder the terms: 1 + 3(-9 + x) = 10 + -6(x + -7) 1 + (-9 * 3 + x * 3) = 10 + -6(x + -7) 1 + (-27 + 3x) = 10 + -6(x + -7) Combine like terms: 1 + -27 = -26 -26 + 3x = 10 + -6(x + -7) Reorder the terms: -26 + 3x = 10 + -6(-7 + x) -26 + 3x = 10 + (-7 * -6 + x * -6) -26 + 3x = 10 + (42 + -6x) Combine like terms: 10 + 42 = 52 -26 + 3x = 52 + -6x Solving -26 + 3x = 52 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -26 + 3x + 6x = 52 + -6x + 6x Combine like terms: 3x + 6x = 9x -26 + 9x = 52 + -6x + 6x Combine like terms: -6x + 6x = 0 -26 + 9x = 52 + 0 -26 + 9x = 52 Add '26' to each side of the equation. -26 + 26 + 9x = 52 + 26 Combine like terms: -26 + 26 = 0 0 + 9x = 52 + 26 9x = 52 + 26 Combine like terms: 52 + 26 = 78 9x = 78 Divide each side by '9'. x = 8.666666667 Simplifying x = 8.666666667
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