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Simplifying (x + 2.9) + -1(0.1x + 5) = 12 Reorder the terms: (2.9 + x) + -1(0.1x + 5) = 12 Remove parenthesis around (2.9 + x) 2.9 + x + -1(0.1x + 5) = 12 Reorder the terms: 2.9 + x + -1(5 + 0.1x) = 12 2.9 + x + (5 * -1 + 0.1x * -1) = 12 2.9 + x + (-5 + -0.1x) = 12 Reorder the terms: 2.9 + -5 + x + -0.1x = 12 Combine like terms: 2.9 + -5 = -2.1 -2.1 + x + -0.1x = 12 Combine like terms: x + -0.1x = 0.9x -2.1 + 0.9x = 12 Solving -2.1 + 0.9x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.1' to each side of the equation. -2.1 + 2.1 + 0.9x = 12 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 0.9x = 12 + 2.1 0.9x = 12 + 2.1 Combine like terms: 12 + 2.1 = 14.1 0.9x = 14.1 Divide each side by '0.9'. x = 15.66666667 Simplifying x = 15.66666667
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