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Simplifying 10(x + 4) = 4x + 2(6 + -4x) Reorder the terms: 10(4 + x) = 4x + 2(6 + -4x) (4 * 10 + x * 10) = 4x + 2(6 + -4x) (40 + 10x) = 4x + 2(6 + -4x) 40 + 10x = 4x + (6 * 2 + -4x * 2) 40 + 10x = 4x + (12 + -8x) Reorder the terms: 40 + 10x = 12 + 4x + -8x Combine like terms: 4x + -8x = -4x 40 + 10x = 12 + -4x Solving 40 + 10x = 12 + -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. 40 + 10x + 4x = 12 + -4x + 4x Combine like terms: 10x + 4x = 14x 40 + 14x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + 14x = 12 + 0 40 + 14x = 12 Add '-40' to each side of the equation. 40 + -40 + 14x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 14x = 12 + -40 14x = 12 + -40 Combine like terms: 12 + -40 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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