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Simplifying 116(x + 2) + -8 = 16x + 24 Reorder the terms: 116(2 + x) + -8 = 16x + 24 (2 * 116 + x * 116) + -8 = 16x + 24 (232 + 116x) + -8 = 16x + 24 Reorder the terms: 232 + -8 + 116x = 16x + 24 Combine like terms: 232 + -8 = 224 224 + 116x = 16x + 24 Reorder the terms: 224 + 116x = 24 + 16x Solving 224 + 116x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 224 + 116x + -16x = 24 + 16x + -16x Combine like terms: 116x + -16x = 100x 224 + 100x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 224 + 100x = 24 + 0 224 + 100x = 24 Add '-224' to each side of the equation. 224 + -224 + 100x = 24 + -224 Combine like terms: 224 + -224 = 0 0 + 100x = 24 + -224 100x = 24 + -224 Combine like terms: 24 + -224 = -200 100x = -200 Divide each side by '100'. x = -2 Simplifying x = -2
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