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Simplifying 6 + -2(x + 5) = 4x + 10 Reorder the terms: 6 + -2(5 + x) = 4x + 10 6 + (5 * -2 + x * -2) = 4x + 10 6 + (-10 + -2x) = 4x + 10 Combine like terms: 6 + -10 = -4 -4 + -2x = 4x + 10 Reorder the terms: -4 + -2x = 10 + 4x Solving -4 + -2x = 10 + 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. -4 + -2x + -4x = 10 + 4x + -4x Combine like terms: -2x + -4x = -6x -4 + -6x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -6x = 10 + 0 -4 + -6x = 10 Add '4' to each side of the equation. -4 + 4 + -6x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 10 + 4 -6x = 10 + 4 Combine like terms: 10 + 4 = 14 -6x = 14 Divide each side by '-6'. x = -2.333333333 Simplifying x = -2.333333333
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