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Simplifying 2(4x + 15) = 2x + -6 Reorder the terms: 2(15 + 4x) = 2x + -6 (15 * 2 + 4x * 2) = 2x + -6 (30 + 8x) = 2x + -6 Reorder the terms: 30 + 8x = -6 + 2x Solving 30 + 8x = -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. 30 + 8x + -2x = -6 + 2x + -2x Combine like terms: 8x + -2x = 6x 30 + 6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 6x = -6 + 0 30 + 6x = -6 Add '-30' to each side of the equation. 30 + -30 + 6x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = -6 + -30 6x = -6 + -30 Combine like terms: -6 + -30 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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