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Simplifying 3(x + -2(-2)) = 4x + 5(-2) Multiply -2 * -2 3(x + 4) = 4x + 5(-2) Reorder the terms: 3(4 + x) = 4x + 5(-2) (4 * 3 + x * 3) = 4x + 5(-2) (12 + 3x) = 4x + 5(-2) Multiply 5 * -2 12 + 3x = 4x + -10 Reorder the terms: 12 + 3x = -10 + 4x Solving 12 + 3x = -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. 12 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x 12 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -1x = -10 + 0 12 + -1x = -10 Add '-12' to each side of the equation. 12 + -12 + -1x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -10 + -12 -1x = -10 + -12 Combine like terms: -10 + -12 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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