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Simplifying -14(4x + 14) = 12x + (-3x + 5) Reorder the terms: -14(14 + 4x) = 12x + (-3x + 5) (14 * -14 + 4x * -14) = 12x + (-3x + 5) (-196 + -56x) = 12x + (-3x + 5) Reorder the terms: -196 + -56x = 12x + (5 + -3x) Remove parenthesis around (5 + -3x) -196 + -56x = 12x + 5 + -3x Reorder the terms: -196 + -56x = 5 + 12x + -3x Combine like terms: 12x + -3x = 9x -196 + -56x = 5 + 9x Solving -196 + -56x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -196 + -56x + -9x = 5 + 9x + -9x Combine like terms: -56x + -9x = -65x -196 + -65x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -196 + -65x = 5 + 0 -196 + -65x = 5 Add '196' to each side of the equation. -196 + 196 + -65x = 5 + 196 Combine like terms: -196 + 196 = 0 0 + -65x = 5 + 196 -65x = 5 + 196 Combine like terms: 5 + 196 = 201 -65x = 201 Divide each side by '-65'. x = -3.092307692 Simplifying x = -3.092307692
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