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Simplifying 2(3x + 5) = -2x + 42 Reorder the terms: 2(5 + 3x) = -2x + 42 (5 * 2 + 3x * 2) = -2x + 42 (10 + 6x) = -2x + 42 Reorder the terms: 10 + 6x = 42 + -2x Solving 10 + 6x = 42 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 6x + 2x = 42 + -2x + 2x Combine like terms: 6x + 2x = 8x 10 + 8x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 8x = 42 + 0 10 + 8x = 42 Add '-10' to each side of the equation. 10 + -10 + 8x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 42 + -10 8x = 42 + -10 Combine like terms: 42 + -10 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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