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Simplifying 2(5 + x) * 3 = 4(7 + x) Reorder the terms for easier multiplication: 2 * 3(5 + x) = 4(7 + x) Multiply 2 * 3 6(5 + x) = 4(7 + x) (5 * 6 + x * 6) = 4(7 + x) (30 + 6x) = 4(7 + x) 30 + 6x = (7 * 4 + x * 4) 30 + 6x = (28 + 4x) Solving 30 + 6x = 28 + 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. 30 + 6x + -4x = 28 + 4x + -4x Combine like terms: 6x + -4x = 2x 30 + 2x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 2x = 28 + 0 30 + 2x = 28 Add '-30' to each side of the equation. 30 + -30 + 2x = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 28 + -30 2x = 28 + -30 Combine like terms: 28 + -30 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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