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Simplifying 4x + -2(x + 1) = 10x + 14 Reorder the terms: 4x + -2(1 + x) = 10x + 14 4x + (1 * -2 + x * -2) = 10x + 14 4x + (-2 + -2x) = 10x + 14 Reorder the terms: -2 + 4x + -2x = 10x + 14 Combine like terms: 4x + -2x = 2x -2 + 2x = 10x + 14 Reorder the terms: -2 + 2x = 14 + 10x Solving -2 + 2x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 2x + -10x = 14 + 10x + -10x Combine like terms: 2x + -10x = -8x -2 + -8x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -8x = 14 + 0 -2 + -8x = 14 Add '2' to each side of the equation. -2 + 2 + -8x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 14 + 2 -8x = 14 + 2 Combine like terms: 14 + 2 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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