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Simplifying 4x + -2 + 2(x + -4) = 2(2x + -3) + 14 Reorder the terms: 4x + -2 + 2(-4 + x) = 2(2x + -3) + 14 4x + -2 + (-4 * 2 + x * 2) = 2(2x + -3) + 14 4x + -2 + (-8 + 2x) = 2(2x + -3) + 14 Reorder the terms: -2 + -8 + 4x + 2x = 2(2x + -3) + 14 Combine like terms: -2 + -8 = -10 -10 + 4x + 2x = 2(2x + -3) + 14 Combine like terms: 4x + 2x = 6x -10 + 6x = 2(2x + -3) + 14 Reorder the terms: -10 + 6x = 2(-3 + 2x) + 14 -10 + 6x = (-3 * 2 + 2x * 2) + 14 -10 + 6x = (-6 + 4x) + 14 Reorder the terms: -10 + 6x = -6 + 14 + 4x Combine like terms: -6 + 14 = 8 -10 + 6x = 8 + 4x Solving -10 + 6x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x -10 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 2x = 8 + 0 -10 + 2x = 8 Add '10' to each side of the equation. -10 + 10 + 2x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 8 + 10 2x = 8 + 10 Combine like terms: 8 + 10 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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