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Simplifying 6.7(x + -2) = 0.3x + 42.6 Reorder the terms: 6.7(-2 + x) = 0.3x + 42.6 (-2 * 6.7 + x * 6.7) = 0.3x + 42.6 (-13.4 + 6.7x) = 0.3x + 42.6 Reorder the terms: -13.4 + 6.7x = 42.6 + 0.3x Solving -13.4 + 6.7x = 42.6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -13.4 + 6.7x + -0.3x = 42.6 + 0.3x + -0.3x Combine like terms: 6.7x + -0.3x = 6.4x -13.4 + 6.4x = 42.6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -13.4 + 6.4x = 42.6 + 0.0 -13.4 + 6.4x = 42.6 Add '13.4' to each side of the equation. -13.4 + 13.4 + 6.4x = 42.6 + 13.4 Combine like terms: -13.4 + 13.4 = 0.0 0.0 + 6.4x = 42.6 + 13.4 6.4x = 42.6 + 13.4 Combine like terms: 42.6 + 13.4 = 56 6.4x = 56 Divide each side by '6.4'. x = 8.75 Simplifying x = 8.75
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