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Simplifying 6x + -3(x + -3) = 12 + -4(2x + -1) Reorder the terms: 6x + -3(-3 + x) = 12 + -4(2x + -1) 6x + (-3 * -3 + x * -3) = 12 + -4(2x + -1) 6x + (9 + -3x) = 12 + -4(2x + -1) Reorder the terms: 9 + 6x + -3x = 12 + -4(2x + -1) Combine like terms: 6x + -3x = 3x 9 + 3x = 12 + -4(2x + -1) Reorder the terms: 9 + 3x = 12 + -4(-1 + 2x) 9 + 3x = 12 + (-1 * -4 + 2x * -4) 9 + 3x = 12 + (4 + -8x) Combine like terms: 12 + 4 = 16 9 + 3x = 16 + -8x Solving 9 + 3x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 3x + 8x = 16 + -8x + 8x Combine like terms: 3x + 8x = 11x 9 + 11x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 11x = 16 + 0 9 + 11x = 16 Add '-9' to each side of the equation. 9 + -9 + 11x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 16 + -9 11x = 16 + -9 Combine like terms: 16 + -9 = 7 11x = 7 Divide each side by '11'. x = 0.6363636364 Simplifying x = 0.6363636364
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