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Simplifying 2x + -4(x + -3) = -2 + 5x + -42 Reorder the terms: 2x + -4(-3 + x) = -2 + 5x + -42 2x + (-3 * -4 + x * -4) = -2 + 5x + -42 2x + (12 + -4x) = -2 + 5x + -42 Reorder the terms: 12 + 2x + -4x = -2 + 5x + -42 Combine like terms: 2x + -4x = -2x 12 + -2x = -2 + 5x + -42 Reorder the terms: 12 + -2x = -2 + -42 + 5x Combine like terms: -2 + -42 = -44 12 + -2x = -44 + 5x Solving 12 + -2x = -44 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -2x + -5x = -44 + 5x + -5x Combine like terms: -2x + -5x = -7x 12 + -7x = -44 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -7x = -44 + 0 12 + -7x = -44 Add '-12' to each side of the equation. 12 + -12 + -7x = -44 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -44 + -12 -7x = -44 + -12 Combine like terms: -44 + -12 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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