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Simplifying 3(x + -2) = 2[x + -1(7 + -1x)] Reorder the terms: 3(-2 + x) = 2[x + -1(7 + -1x)] (-2 * 3 + x * 3) = 2[x + -1(7 + -1x)] (-6 + 3x) = 2[x + -1(7 + -1x)] -6 + 3x = 2[x + (7 * -1 + -1x * -1)] -6 + 3x = 2[x + (-7 + 1x)] Reorder the terms: -6 + 3x = 2[-7 + x + 1x] Combine like terms: x + 1x = 2x -6 + 3x = 2[-7 + 2x] -6 + 3x = [-7 * 2 + 2x * 2] -6 + 3x = [-14 + 4x] Solving -6 + 3x = -14 + 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 = -14 + 4x + -4x Combine like terms: 3x + -4x = -1x -6 + -1x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -1x = -14 + 0 -6 + -1x = -14 Add '6' to each side of the equation. -6 + 6 + -1x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -14 + 6 -1x = -14 + 6 Combine like terms: -14 + 6 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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