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Simplifying 7 + 3(x + -6) = 4 + -3(x + -1) Reorder the terms: 7 + 3(-6 + x) = 4 + -3(x + -1) 7 + (-6 * 3 + x * 3) = 4 + -3(x + -1) 7 + (-18 + 3x) = 4 + -3(x + -1) Combine like terms: 7 + -18 = -11 -11 + 3x = 4 + -3(x + -1) Reorder the terms: -11 + 3x = 4 + -3(-1 + x) -11 + 3x = 4 + (-1 * -3 + x * -3) -11 + 3x = 4 + (3 + -3x) Combine like terms: 4 + 3 = 7 -11 + 3x = 7 + -3x Solving -11 + 3x = 7 + -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 + 3x + 3x = 7 + -3x + 3x Combine like terms: 3x + 3x = 6x -11 + 6x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 6x = 7 + 0 -11 + 6x = 7 Add '11' to each side of the equation. -11 + 11 + 6x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 7 + 11 6x = 7 + 11 Combine like terms: 7 + 11 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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