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Simplifying 3(x + -2) = 2(2x + -6) + 1 Reorder the terms: 3(-2 + x) = 2(2x + -6) + 1 (-2 * 3 + x * 3) = 2(2x + -6) + 1 (-6 + 3x) = 2(2x + -6) + 1 Reorder the terms: -6 + 3x = 2(-6 + 2x) + 1 -6 + 3x = (-6 * 2 + 2x * 2) + 1 -6 + 3x = (-12 + 4x) + 1 Reorder the terms: -6 + 3x = -12 + 1 + 4x Combine like terms: -12 + 1 = -11 -6 + 3x = -11 + 4x Solving -6 + 3x = -11 + 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 + 3x + -4x = -11 + 4x + -4x Combine like terms: 3x + -4x = -1x -6 + -1x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -1x = -11 + 0 -6 + -1x = -11 Add '6' to each side of the equation. -6 + 6 + -1x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -11 + 6 -1x = -11 + 6 Combine like terms: -11 + 6 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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