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Simplifying 14 + x(2 + -6) + -8 = 3x + -1(18 + 5x) + 28 + -4x Combine like terms: 2 + -6 = -4 14 + x(-4) + -8 = 3x + -1(18 + 5x) + 28 + -4x Reorder the terms for easier multiplication: 14 + -4x + -8 = 3x + -1(18 + 5x) + 28 + -4x Reorder the terms: 14 + -8 + -4x = 3x + -1(18 + 5x) + 28 + -4x Combine like terms: 14 + -8 = 6 6 + -4x = 3x + -1(18 + 5x) + 28 + -4x 6 + -4x = 3x + (18 * -1 + 5x * -1) + 28 + -4x 6 + -4x = 3x + (-18 + -5x) + 28 + -4x Reorder the terms: 6 + -4x = -18 + 28 + 3x + -5x + -4x Combine like terms: -18 + 28 = 10 6 + -4x = 10 + 3x + -5x + -4x Combine like terms: 3x + -5x = -2x 6 + -4x = 10 + -2x + -4x Combine like terms: -2x + -4x = -6x 6 + -4x = 10 + -6x Solving 6 + -4x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + -4x + 6x = 10 + -6x + 6x Combine like terms: -4x + 6x = 2x 6 + 2x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 2x = 10 + 0 6 + 2x = 10 Add '-6' to each side of the equation. 6 + -6 + 2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 10 + -6 2x = 10 + -6 Combine like terms: 10 + -6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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