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Simplifying 3(6x + -14) = 2(7x + 4) Reorder the terms: 3(-14 + 6x) = 2(7x + 4) (-14 * 3 + 6x * 3) = 2(7x + 4) (-42 + 18x) = 2(7x + 4) Reorder the terms: -42 + 18x = 2(4 + 7x) -42 + 18x = (4 * 2 + 7x * 2) -42 + 18x = (8 + 14x) Solving -42 + 18x = 8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -42 + 18x + -14x = 8 + 14x + -14x Combine like terms: 18x + -14x = 4x -42 + 4x = 8 + 14x + -14x Combine like terms: 14x + -14x = 0 -42 + 4x = 8 + 0 -42 + 4x = 8 Add '42' to each side of the equation. -42 + 42 + 4x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 8 + 42 4x = 8 + 42 Combine like terms: 8 + 42 = 50 4x = 50 Divide each side by '4'. x = 12.5 Simplifying x = 12.5
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