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Simplifying 14(7x + 2) = -7(9x + -16) Reorder the terms: 14(2 + 7x) = -7(9x + -16) (2 * 14 + 7x * 14) = -7(9x + -16) (28 + 98x) = -7(9x + -16) Reorder the terms: 28 + 98x = -7(-16 + 9x) 28 + 98x = (-16 * -7 + 9x * -7) 28 + 98x = (112 + -63x) Solving 28 + 98x = 112 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 28 + 98x + 63x = 112 + -63x + 63x Combine like terms: 98x + 63x = 161x 28 + 161x = 112 + -63x + 63x Combine like terms: -63x + 63x = 0 28 + 161x = 112 + 0 28 + 161x = 112 Add '-28' to each side of the equation. 28 + -28 + 161x = 112 + -28 Combine like terms: 28 + -28 = 0 0 + 161x = 112 + -28 161x = 112 + -28 Combine like terms: 112 + -28 = 84 161x = 84 Divide each side by '161'. x = 0.5217391304 Simplifying x = 0.5217391304
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