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Simplifying 6 + -3(2x + 3) = 3 + -2(x + -1) Reorder the terms: 6 + -3(3 + 2x) = 3 + -2(x + -1) 6 + (3 * -3 + 2x * -3) = 3 + -2(x + -1) 6 + (-9 + -6x) = 3 + -2(x + -1) Combine like terms: 6 + -9 = -3 -3 + -6x = 3 + -2(x + -1) Reorder the terms: -3 + -6x = 3 + -2(-1 + x) -3 + -6x = 3 + (-1 * -2 + x * -2) -3 + -6x = 3 + (2 + -2x) Combine like terms: 3 + 2 = 5 -3 + -6x = 5 + -2x Solving -3 + -6x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + -6x + 2x = 5 + -2x + 2x Combine like terms: -6x + 2x = -4x -3 + -4x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -4x = 5 + 0 -3 + -4x = 5 Add '3' to each side of the equation. -3 + 3 + -4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 5 + 3 -4x = 5 + 3 Combine like terms: 5 + 3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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