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Simplifying 2(x + -11) = 6(x + -2) + 3 Reorder the terms: 2(-11 + x) = 6(x + -2) + 3 (-11 * 2 + x * 2) = 6(x + -2) + 3 (-22 + 2x) = 6(x + -2) + 3 Reorder the terms: -22 + 2x = 6(-2 + x) + 3 -22 + 2x = (-2 * 6 + x * 6) + 3 -22 + 2x = (-12 + 6x) + 3 Reorder the terms: -22 + 2x = -12 + 3 + 6x Combine like terms: -12 + 3 = -9 -22 + 2x = -9 + 6x Solving -22 + 2x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 2x + -6x = -9 + 6x + -6x Combine like terms: 2x + -6x = -4x -22 + -4x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + -4x = -9 + 0 -22 + -4x = -9 Add '22' to each side of the equation. -22 + 22 + -4x = -9 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = -9 + 22 -4x = -9 + 22 Combine like terms: -9 + 22 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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