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Simplifying 3(2x + -14) = -3(-13 + x) Reorder the terms: 3(-14 + 2x) = -3(-13 + x) (-14 * 3 + 2x * 3) = -3(-13 + x) (-42 + 6x) = -3(-13 + x) -42 + 6x = (-13 * -3 + x * -3) -42 + 6x = (39 + -3x) Solving -42 + 6x = 39 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -42 + 6x + 3x = 39 + -3x + 3x Combine like terms: 6x + 3x = 9x -42 + 9x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + 9x = 39 + 0 -42 + 9x = 39 Add '42' to each side of the equation. -42 + 42 + 9x = 39 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 39 + 42 9x = 39 + 42 Combine like terms: 39 + 42 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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