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Simplifying 14 + 4x = 3(-1x + 6) + -46 Reorder the terms: 14 + 4x = 3(6 + -1x) + -46 14 + 4x = (6 * 3 + -1x * 3) + -46 14 + 4x = (18 + -3x) + -46 Reorder the terms: 14 + 4x = 18 + -46 + -3x Combine like terms: 18 + -46 = -28 14 + 4x = -28 + -3x Solving 14 + 4x = -28 + -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. 14 + 4x + 3x = -28 + -3x + 3x Combine like terms: 4x + 3x = 7x 14 + 7x = -28 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 7x = -28 + 0 14 + 7x = -28 Add '-14' to each side of the equation. 14 + -14 + 7x = -28 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = -28 + -14 7x = -28 + -14 Combine like terms: -28 + -14 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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