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Simplifying 10 + -2(x + -7) = 4(x + -5) Reorder the terms: 10 + -2(-7 + x) = 4(x + -5) 10 + (-7 * -2 + x * -2) = 4(x + -5) 10 + (14 + -2x) = 4(x + -5) Combine like terms: 10 + 14 = 24 24 + -2x = 4(x + -5) Reorder the terms: 24 + -2x = 4(-5 + x) 24 + -2x = (-5 * 4 + x * 4) 24 + -2x = (-20 + 4x) Solving 24 + -2x = -20 + 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. 24 + -2x + -4x = -20 + 4x + -4x Combine like terms: -2x + -4x = -6x 24 + -6x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -6x = -20 + 0 24 + -6x = -20 Add '-24' to each side of the equation. 24 + -24 + -6x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -20 + -24 -6x = -20 + -24 Combine like terms: -20 + -24 = -44 -6x = -44 Divide each side by '-6'. x = 7.333333333 Simplifying x = 7.333333333
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