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Simplifying 14(8x + -16) = 7x + 6 Reorder the terms: 14(-16 + 8x) = 7x + 6 (-16 * 14 + 8x * 14) = 7x + 6 (-224 + 112x) = 7x + 6 Reorder the terms: -224 + 112x = 6 + 7x Solving -224 + 112x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -224 + 112x + -7x = 6 + 7x + -7x Combine like terms: 112x + -7x = 105x -224 + 105x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -224 + 105x = 6 + 0 -224 + 105x = 6 Add '224' to each side of the equation. -224 + 224 + 105x = 6 + 224 Combine like terms: -224 + 224 = 0 0 + 105x = 6 + 224 105x = 6 + 224 Combine like terms: 6 + 224 = 230 105x = 230 Divide each side by '105'. x = 2.19047619 Simplifying x = 2.19047619
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