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Simplifying -2(x + 6) + 3 = -11 + 4(x + 4) Reorder the terms: -2(6 + x) + 3 = -11 + 4(x + 4) (6 * -2 + x * -2) + 3 = -11 + 4(x + 4) (-12 + -2x) + 3 = -11 + 4(x + 4) Reorder the terms: -12 + 3 + -2x = -11 + 4(x + 4) Combine like terms: -12 + 3 = -9 -9 + -2x = -11 + 4(x + 4) Reorder the terms: -9 + -2x = -11 + 4(4 + x) -9 + -2x = -11 + (4 * 4 + x * 4) -9 + -2x = -11 + (16 + 4x) Combine like terms: -11 + 16 = 5 -9 + -2x = 5 + 4x Solving -9 + -2x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + -2x + -4x = 5 + 4x + -4x Combine like terms: -2x + -4x = -6x -9 + -6x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -6x = 5 + 0 -9 + -6x = 5 Add '9' to each side of the equation. -9 + 9 + -6x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = 5 + 9 -6x = 5 + 9 Combine like terms: 5 + 9 = 14 -6x = 14 Divide each side by '-6'. x = -2.333333333 Simplifying x = -2.333333333
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