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Simplifying -2x + 42 = 2(2x + -3) Reorder the terms: 42 + -2x = 2(2x + -3) Reorder the terms: 42 + -2x = 2(-3 + 2x) 42 + -2x = (-3 * 2 + 2x * 2) 42 + -2x = (-6 + 4x) Solving 42 + -2x = -6 + 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. 42 + -2x + -4x = -6 + 4x + -4x Combine like terms: -2x + -4x = -6x 42 + -6x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -6x = -6 + 0 42 + -6x = -6 Add '-42' to each side of the equation. 42 + -42 + -6x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -6 + -42 -6x = -6 + -42 Combine like terms: -6 + -42 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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