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Simplifying (0.10x + 22) + (0.1x + -21) + (0.3x + 23) = 0 Reorder the terms: (22 + 0.10x) + (0.1x + -21) + (0.3x + 23) = 0 Remove parenthesis around (22 + 0.10x) 22 + 0.10x + (0.1x + -21) + (0.3x + 23) = 0 Reorder the terms: 22 + 0.10x + (-21 + 0.1x) + (0.3x + 23) = 0 Remove parenthesis around (-21 + 0.1x) 22 + 0.10x + -21 + 0.1x + (0.3x + 23) = 0 Reorder the terms: 22 + 0.10x + -21 + 0.1x + (23 + 0.3x) = 0 Remove parenthesis around (23 + 0.3x) 22 + 0.10x + -21 + 0.1x + 23 + 0.3x = 0 Reorder the terms: 22 + -21 + 23 + 0.10x + 0.1x + 0.3x = 0 Combine like terms: 22 + -21 = 1 1 + 23 + 0.10x + 0.1x + 0.3x = 0 Combine like terms: 1 + 23 = 24 24 + 0.10x + 0.1x + 0.3x = 0 Combine like terms: 0.10x + 0.1x = 0.2x 24 + 0.2x + 0.3x = 0 Combine like terms: 0.2x + 0.3x = 0.5x 24 + 0.5x = 0 Solving 24 + 0.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 0.5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 0.5x = 0 + -24 0.5x = 0 + -24 Combine like terms: 0 + -24 = -24 0.5x = -24 Divide each side by '0.5'. x = -48 Simplifying x = -48
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