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Simplifying 100[0.09(x + 4)] = x Reorder the terms: 100[0.09(4 + x)] = x 100[(4 * 0.09 + x * 0.09)] = x 100[(0.36 + 0.09x)] = x [0.36 * 100 + 0.09x * 100] = x [36 + 9x] = x Solving 36 + 9x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 36 + 9x + -1x = x + -1x Combine like terms: 9x + -1x = 8x 36 + 8x = x + -1x Combine like terms: x + -1x = 0 36 + 8x = 0 Add '-36' to each side of the equation. 36 + -36 + 8x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 0 + -36 8x = 0 + -36 Combine like terms: 0 + -36 = -36 8x = -36 Divide each side by '8'. x = -4.5 Simplifying x = -4.5
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