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Simplifying 10x + -1(4x + 6) + 14 = 2x Reorder the terms: 10x + -1(6 + 4x) + 14 = 2x 10x + (6 * -1 + 4x * -1) + 14 = 2x 10x + (-6 + -4x) + 14 = 2x Reorder the terms: -6 + 14 + 10x + -4x = 2x Combine like terms: -6 + 14 = 8 8 + 10x + -4x = 2x Combine like terms: 10x + -4x = 6x 8 + 6x = 2x Solving 8 + 6x = 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. 8 + 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 8 + 4x = 2x + -2x Combine like terms: 2x + -2x = 0 8 + 4x = 0 Add '-8' to each side of the equation. 8 + -8 + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 0 + -8 4x = 0 + -8 Combine like terms: 0 + -8 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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