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Simplifying 6.7(x + -3) = 0.3x + 14.9 Reorder the terms: 6.7(-3 + x) = 0.3x + 14.9 (-3 * 6.7 + x * 6.7) = 0.3x + 14.9 (-20.1 + 6.7x) = 0.3x + 14.9 Reorder the terms: -20.1 + 6.7x = 14.9 + 0.3x Solving -20.1 + 6.7x = 14.9 + 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. -20.1 + 6.7x + -0.3x = 14.9 + 0.3x + -0.3x Combine like terms: 6.7x + -0.3x = 6.4x -20.1 + 6.4x = 14.9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -20.1 + 6.4x = 14.9 + 0.0 -20.1 + 6.4x = 14.9 Add '20.1' to each side of the equation. -20.1 + 20.1 + 6.4x = 14.9 + 20.1 Combine like terms: -20.1 + 20.1 = 0.0 0.0 + 6.4x = 14.9 + 20.1 6.4x = 14.9 + 20.1 Combine like terms: 14.9 + 20.1 = 35 6.4x = 35 Divide each side by '6.4'. x = 5.46875 Simplifying x = 5.46875
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