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Simplifying -2(3x + 7) + 3x = x + 42 Reorder the terms: -2(7 + 3x) + 3x = x + 42 (7 * -2 + 3x * -2) + 3x = x + 42 (-14 + -6x) + 3x = x + 42 Combine like terms: -6x + 3x = -3x -14 + -3x = x + 42 Reorder the terms: -14 + -3x = 42 + x Solving -14 + -3x = 42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + -3x + -1x = 42 + x + -1x Combine like terms: -3x + -1x = -4x -14 + -4x = 42 + x + -1x Combine like terms: x + -1x = 0 -14 + -4x = 42 + 0 -14 + -4x = 42 Add '14' to each side of the equation. -14 + 14 + -4x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = 42 + 14 -4x = 42 + 14 Combine like terms: 42 + 14 = 56 -4x = 56 Divide each side by '-4'. x = -14 Simplifying x = -14
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