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Simplifying -2(x + 6) + 3 = -11x + 3(x + 4) Reorder the terms: -2(6 + x) + 3 = -11x + 3(x + 4) (6 * -2 + x * -2) + 3 = -11x + 3(x + 4) (-12 + -2x) + 3 = -11x + 3(x + 4) Reorder the terms: -12 + 3 + -2x = -11x + 3(x + 4) Combine like terms: -12 + 3 = -9 -9 + -2x = -11x + 3(x + 4) Reorder the terms: -9 + -2x = -11x + 3(4 + x) -9 + -2x = -11x + (4 * 3 + x * 3) -9 + -2x = -11x + (12 + 3x) Reorder the terms: -9 + -2x = 12 + -11x + 3x Combine like terms: -11x + 3x = -8x -9 + -2x = 12 + -8x Solving -9 + -2x = 12 + -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 + -2x + 8x = 12 + -8x + 8x Combine like terms: -2x + 8x = 6x -9 + 6x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 6x = 12 + 0 -9 + 6x = 12 Add '9' to each side of the equation. -9 + 9 + 6x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 12 + 9 6x = 12 + 9 Combine like terms: 12 + 9 = 21 6x = 21 Divide each side by '6'. x = 3.5 Simplifying x = 3.5
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