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Simplifying 2(3x + 2) + 3 = 2(-36 + 2x) + 3 Reorder the terms: 2(2 + 3x) + 3 = 2(-36 + 2x) + 3 (2 * 2 + 3x * 2) + 3 = 2(-36 + 2x) + 3 (4 + 6x) + 3 = 2(-36 + 2x) + 3 Reorder the terms: 4 + 3 + 6x = 2(-36 + 2x) + 3 Combine like terms: 4 + 3 = 7 7 + 6x = 2(-36 + 2x) + 3 7 + 6x = (-36 * 2 + 2x * 2) + 3 7 + 6x = (-72 + 4x) + 3 Reorder the terms: 7 + 6x = -72 + 3 + 4x Combine like terms: -72 + 3 = -69 7 + 6x = -69 + 4x Solving 7 + 6x = -69 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 6x + -4x = -69 + 4x + -4x Combine like terms: 6x + -4x = 2x 7 + 2x = -69 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 2x = -69 + 0 7 + 2x = -69 Add '-7' to each side of the equation. 7 + -7 + 2x = -69 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -69 + -7 2x = -69 + -7 Combine like terms: -69 + -7 = -76 2x = -76 Divide each side by '2'. x = -38 Simplifying x = -38
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