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Simplifying 100(x + -2) + 15 = 8x + 7 Reorder the terms: 100(-2 + x) + 15 = 8x + 7 (-2 * 100 + x * 100) + 15 = 8x + 7 (-200 + 100x) + 15 = 8x + 7 Reorder the terms: -200 + 15 + 100x = 8x + 7 Combine like terms: -200 + 15 = -185 -185 + 100x = 8x + 7 Reorder the terms: -185 + 100x = 7 + 8x Solving -185 + 100x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -185 + 100x + -8x = 7 + 8x + -8x Combine like terms: 100x + -8x = 92x -185 + 92x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -185 + 92x = 7 + 0 -185 + 92x = 7 Add '185' to each side of the equation. -185 + 185 + 92x = 7 + 185 Combine like terms: -185 + 185 = 0 0 + 92x = 7 + 185 92x = 7 + 185 Combine like terms: 7 + 185 = 192 92x = 192 Divide each side by '92'. x = 2.086956522 Simplifying x = 2.086956522
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