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Simplifying 19.1x + -4(x + 0.3) = -46.5 Reorder the terms: 19.1x + -4(0.3 + x) = -46.5 19.1x + (0.3 * -4 + x * -4) = -46.5 19.1x + (-1.2 + -4x) = -46.5 Reorder the terms: -1.2 + 19.1x + -4x = -46.5 Combine like terms: 19.1x + -4x = 15.1x -1.2 + 15.1x = -46.5 Solving -1.2 + 15.1x = -46.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 15.1x = -46.5 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 15.1x = -46.5 + 1.2 15.1x = -46.5 + 1.2 Combine like terms: -46.5 + 1.2 = -45.3 15.1x = -45.3 Divide each side by '15.1'. x = -3 Simplifying x = -3
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