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Simplifying 2(7x + -3) = 3(2x + 6) * 7 Reorder the terms: 2(-3 + 7x) = 3(2x + 6) * 7 (-3 * 2 + 7x * 2) = 3(2x + 6) * 7 (-6 + 14x) = 3(2x + 6) * 7 Reorder the terms: -6 + 14x = 3(6 + 2x) * 7 Reorder the terms for easier multiplication: -6 + 14x = 3 * 7(6 + 2x) Multiply 3 * 7 -6 + 14x = 21(6 + 2x) -6 + 14x = (6 * 21 + 2x * 21) -6 + 14x = (126 + 42x) Solving -6 + 14x = 126 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -6 + 14x + -42x = 126 + 42x + -42x Combine like terms: 14x + -42x = -28x -6 + -28x = 126 + 42x + -42x Combine like terms: 42x + -42x = 0 -6 + -28x = 126 + 0 -6 + -28x = 126 Add '6' to each side of the equation. -6 + 6 + -28x = 126 + 6 Combine like terms: -6 + 6 = 0 0 + -28x = 126 + 6 -28x = 126 + 6 Combine like terms: 126 + 6 = 132 -28x = 132 Divide each side by '-28'. x = -4.714285714 Simplifying x = -4.714285714
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