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Simplifying 0.10(x + 11) = -2(8 + -1x) Reorder the terms: 0.10(11 + x) = -2(8 + -1x) (11 * 0.10 + x * 0.10) = -2(8 + -1x) (1.1 + 0.10x) = -2(8 + -1x) 1.1 + 0.10x = (8 * -2 + -1x * -2) 1.1 + 0.10x = (-16 + 2x) Solving 1.1 + 0.10x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.1 + 0.10x + -2x = -16 + 2x + -2x Combine like terms: 0.10x + -2x = -1.9x 1.1 + -1.9x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 1.1 + -1.9x = -16 + 0 1.1 + -1.9x = -16 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -1.9x = -16 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -1.9x = -16 + -1.1 -1.9x = -16 + -1.1 Combine like terms: -16 + -1.1 = -17.1 -1.9x = -17.1 Divide each side by '-1.9'. x = 9 Simplifying x = 9
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