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Simplifying 4(3)(x + 5) = 2(7)(2x + 3) Reorder the terms: 4 * 3(5 + x) = 2(7)(2x + 3) Multiply 4 * 3 12(5 + x) = 2(7)(2x + 3) (5 * 12 + x * 12) = 2(7)(2x + 3) (60 + 12x) = 2(7)(2x + 3) Reorder the terms: 60 + 12x = 2 * 7(3 + 2x) Multiply 2 * 7 60 + 12x = 14(3 + 2x) 60 + 12x = (3 * 14 + 2x * 14) 60 + 12x = (42 + 28x) Solving 60 + 12x = 42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 60 + 12x + -28x = 42 + 28x + -28x Combine like terms: 12x + -28x = -16x 60 + -16x = 42 + 28x + -28x Combine like terms: 28x + -28x = 0 60 + -16x = 42 + 0 60 + -16x = 42 Add '-60' to each side of the equation. 60 + -60 + -16x = 42 + -60 Combine like terms: 60 + -60 = 0 0 + -16x = 42 + -60 -16x = 42 + -60 Combine like terms: 42 + -60 = -18 -16x = -18 Divide each side by '-16'. x = 1.125 Simplifying x = 1.125
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