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Simplifying 46 = 4x + -2(3x + -14) Reorder the terms: 46 = 4x + -2(-14 + 3x) 46 = 4x + (-14 * -2 + 3x * -2) 46 = 4x + (28 + -6x) Reorder the terms: 46 = 28 + 4x + -6x Combine like terms: 4x + -6x = -2x 46 = 28 + -2x Solving 46 = 28 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 46 + 2x = 28 + -2x + 2x Combine like terms: -2x + 2x = 0 46 + 2x = 28 + 0 46 + 2x = 28 Add '-46' to each side of the equation. 46 + -46 + 2x = 28 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = 28 + -46 2x = 28 + -46 Combine like terms: 28 + -46 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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