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Simplifying 6(14x + -21) = 14(18x + -6) Reorder the terms: 6(-21 + 14x) = 14(18x + -6) (-21 * 6 + 14x * 6) = 14(18x + -6) (-126 + 84x) = 14(18x + -6) Reorder the terms: -126 + 84x = 14(-6 + 18x) -126 + 84x = (-6 * 14 + 18x * 14) -126 + 84x = (-84 + 252x) Solving -126 + 84x = -84 + 252x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-252x' to each side of the equation. -126 + 84x + -252x = -84 + 252x + -252x Combine like terms: 84x + -252x = -168x -126 + -168x = -84 + 252x + -252x Combine like terms: 252x + -252x = 0 -126 + -168x = -84 + 0 -126 + -168x = -84 Add '126' to each side of the equation. -126 + 126 + -168x = -84 + 126 Combine like terms: -126 + 126 = 0 0 + -168x = -84 + 126 -168x = -84 + 126 Combine like terms: -84 + 126 = 42 -168x = 42 Divide each side by '-168'. x = -0.25 Simplifying x = -0.25
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