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Simplifying 6.7(x + -2) = -0.3x + 21.6 Reorder the terms: 6.7(-2 + x) = -0.3x + 21.6 (-2 * 6.7 + x * 6.7) = -0.3x + 21.6 (-13.4 + 6.7x) = -0.3x + 21.6 Reorder the terms: -13.4 + 6.7x = 21.6 + -0.3x Solving -13.4 + 6.7x = 21.6 + -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 = 21.6 + -0.3x + 0.3x Combine like terms: 6.7x + 0.3x = 7x -13.4 + 7x = 21.6 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -13.4 + 7x = 21.6 + 0.0 -13.4 + 7x = 21.6 Add '13.4' to each side of the equation. -13.4 + 13.4 + 7x = 21.6 + 13.4 Combine like terms: -13.4 + 13.4 = 0.0 0.0 + 7x = 21.6 + 13.4 7x = 21.6 + 13.4 Combine like terms: 21.6 + 13.4 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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