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Simplifying 6(x + -0.1) + (3x + -2) = 10.9 Reorder the terms: 6(-0.1 + x) + (3x + -2) = 10.9 (-0.1 * 6 + x * 6) + (3x + -2) = 10.9 (-0.6 + 6x) + (3x + -2) = 10.9 Reorder the terms: -0.6 + 6x + (-2 + 3x) = 10.9 Remove parenthesis around (-2 + 3x) -0.6 + 6x + -2 + 3x = 10.9 Reorder the terms: -0.6 + -2 + 6x + 3x = 10.9 Combine like terms: -0.6 + -2 = -2.6 -2.6 + 6x + 3x = 10.9 Combine like terms: 6x + 3x = 9x -2.6 + 9x = 10.9 Solving -2.6 + 9x = 10.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.6' to each side of the equation. -2.6 + 2.6 + 9x = 10.9 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 9x = 10.9 + 2.6 9x = 10.9 + 2.6 Combine like terms: 10.9 + 2.6 = 13.5 9x = 13.5 Divide each side by '9'. x = 1.5 Simplifying x = 1.5
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