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Simplifying 3 + 6(x + -1) = 4 + -3(x + -2) Reorder the terms: 3 + 6(-1 + x) = 4 + -3(x + -2) 3 + (-1 * 6 + x * 6) = 4 + -3(x + -2) 3 + (-6 + 6x) = 4 + -3(x + -2) Combine like terms: 3 + -6 = -3 -3 + 6x = 4 + -3(x + -2) Reorder the terms: -3 + 6x = 4 + -3(-2 + x) -3 + 6x = 4 + (-2 * -3 + x * -3) -3 + 6x = 4 + (6 + -3x) Combine like terms: 4 + 6 = 10 -3 + 6x = 10 + -3x Solving -3 + 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. -3 + 6x + 3x = 10 + -3x + 3x Combine like terms: 6x + 3x = 9x -3 + 9x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 9x = 10 + 0 -3 + 9x = 10 Add '3' to each side of the equation. -3 + 3 + 9x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 10 + 3 9x = 10 + 3 Combine like terms: 10 + 3 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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