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Simplifying 3(2X + 5) = (x + 1) * 2 + -7 Reorder the terms: 3(5 + 2X) = (x + 1) * 2 + -7 (5 * 3 + 2X * 3) = (x + 1) * 2 + -7 (15 + 6X) = (x + 1) * 2 + -7 Reorder the terms: 15 + 6X = (1 + x) * 2 + -7 Reorder the terms for easier multiplication: 15 + 6X = 2(1 + x) + -7 15 + 6X = (1 * 2 + x * 2) + -7 15 + 6X = (2 + 2x) + -7 Reorder the terms: 15 + 6X = 2 + -7 + 2x Combine like terms: 2 + -7 = -5 15 + 6X = -5 + 2x Solving 15 + 6X = -5 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6X = -5 + -15 + 2x Combine like terms: 15 + -15 = 0 0 + 6X = -5 + -15 + 2x 6X = -5 + -15 + 2x Combine like terms: -5 + -15 = -20 6X = -20 + 2x Divide each side by '6'. X = -3.333333333 + 0.3333333333x Simplifying X = -3.333333333 + 0.3333333333x
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