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Simplifying 2x + 42 = 2(3x + 1) + -4 Reorder the terms: 42 + 2x = 2(3x + 1) + -4 Reorder the terms: 42 + 2x = 2(1 + 3x) + -4 42 + 2x = (1 * 2 + 3x * 2) + -4 42 + 2x = (2 + 6x) + -4 Reorder the terms: 42 + 2x = 2 + -4 + 6x Combine like terms: 2 + -4 = -2 42 + 2x = -2 + 6x Solving 42 + 2x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 2x + -6x = -2 + 6x + -6x Combine like terms: 2x + -6x = -4x 42 + -4x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -4x = -2 + 0 42 + -4x = -2 Add '-42' to each side of the equation. 42 + -42 + -4x = -2 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -2 + -42 -4x = -2 + -42 Combine like terms: -2 + -42 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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