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Simplifying 10 + 8.1x = -0.9x + -1(x + 2) Reorder the terms: 10 + 8.1x = -0.9x + -1(2 + x) 10 + 8.1x = -0.9x + (2 * -1 + x * -1) 10 + 8.1x = -0.9x + (-2 + -1x) Reorder the terms: 10 + 8.1x = -2 + -0.9x + -1x Combine like terms: -0.9x + -1x = -1.9x 10 + 8.1x = -2 + -1.9x Solving 10 + 8.1x = -2 + -1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9x' to each side of the equation. 10 + 8.1x + 1.9x = -2 + -1.9x + 1.9x Combine like terms: 8.1x + 1.9x = 10x 10 + 10x = -2 + -1.9x + 1.9x Combine like terms: -1.9x + 1.9x = 0.0 10 + 10x = -2 + 0.0 10 + 10x = -2 Add '-10' to each side of the equation. 10 + -10 + 10x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = -2 + -10 10x = -2 + -10 Combine like terms: -2 + -10 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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