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Simplifying 4(9 + x) = 2x + -6 (9 * 4 + x * 4) = 2x + -6 (36 + 4x) = 2x + -6 Reorder the terms: 36 + 4x = -6 + 2x Solving 36 + 4x = -6 + 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. 36 + 4x + -2x = -6 + 2x + -2x Combine like terms: 4x + -2x = 2x 36 + 2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 2x = -6 + 0 36 + 2x = -6 Add '-36' to each side of the equation. 36 + -36 + 2x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = -6 + -36 2x = -6 + -36 Combine like terms: -6 + -36 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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