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Simplifying 3(x + -2) + -1x = 2(2x + 11) Reorder the terms: 3(-2 + x) + -1x = 2(2x + 11) (-2 * 3 + x * 3) + -1x = 2(2x + 11) (-6 + 3x) + -1x = 2(2x + 11) Combine like terms: 3x + -1x = 2x -6 + 2x = 2(2x + 11) Reorder the terms: -6 + 2x = 2(11 + 2x) -6 + 2x = (11 * 2 + 2x * 2) -6 + 2x = (22 + 4x) Solving -6 + 2x = 22 + 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. -6 + 2x + -4x = 22 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = 22 + 0 -6 + -2x = 22 Add '6' to each side of the equation. -6 + 6 + -2x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 22 + 6 -2x = 22 + 6 Combine like terms: 22 + 6 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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