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Simplifying 6x + 9 = 0.1(9x + -18) Reorder the terms: 9 + 6x = 0.1(9x + -18) Reorder the terms: 9 + 6x = 0.1(-18 + 9x) 9 + 6x = (-18 * 0.1 + 9x * 0.1) 9 + 6x = (-1.8 + 0.9x) Solving 9 + 6x = -1.8 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 9 + 6x + -0.9x = -1.8 + 0.9x + -0.9x Combine like terms: 6x + -0.9x = 5.1x 9 + 5.1x = -1.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 9 + 5.1x = -1.8 + 0.0 9 + 5.1x = -1.8 Add '-9' to each side of the equation. 9 + -9 + 5.1x = -1.8 + -9 Combine like terms: 9 + -9 = 0 0 + 5.1x = -1.8 + -9 5.1x = -1.8 + -9 Combine like terms: -1.8 + -9 = -10.8 5.1x = -10.8 Divide each side by '5.1'. x = -2.117647059 Simplifying x = -2.117647059
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