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Simplifying 7 + 6(x + -3) = 1 + -3(x + -3) Reorder the terms: 7 + 6(-3 + x) = 1 + -3(x + -3) 7 + (-3 * 6 + x * 6) = 1 + -3(x + -3) 7 + (-18 + 6x) = 1 + -3(x + -3) Combine like terms: 7 + -18 = -11 -11 + 6x = 1 + -3(x + -3) Reorder the terms: -11 + 6x = 1 + -3(-3 + x) -11 + 6x = 1 + (-3 * -3 + x * -3) -11 + 6x = 1 + (9 + -3x) Combine like terms: 1 + 9 = 10 -11 + 6x = 10 + -3x Solving -11 + 6x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -11 + 6x + 3x = 10 + -3x + 3x Combine like terms: 6x + 3x = 9x -11 + 9x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 9x = 10 + 0 -11 + 9x = 10 Add '11' to each side of the equation. -11 + 11 + 9x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 9x = 10 + 11 9x = 10 + 11 Combine like terms: 10 + 11 = 21 9x = 21 Divide each side by '9'. x = 2.333333333 Simplifying x = 2.333333333
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