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Simplifying 2.4(-1.9 + 0.1x) = 0.2x + -4.88 (-1.9 * 2.4 + 0.1x * 2.4) = 0.2x + -4.88 (-4.56 + 0.24x) = 0.2x + -4.88 Reorder the terms: -4.56 + 0.24x = -4.88 + 0.2x Solving -4.56 + 0.24x = -4.88 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -4.56 + 0.24x + -0.2x = -4.88 + 0.2x + -0.2x Combine like terms: 0.24x + -0.2x = 0.04x -4.56 + 0.04x = -4.88 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4.56 + 0.04x = -4.88 + 0.0 -4.56 + 0.04x = -4.88 Add '4.56' to each side of the equation. -4.56 + 4.56 + 0.04x = -4.88 + 4.56 Combine like terms: -4.56 + 4.56 = 0.00 0.00 + 0.04x = -4.88 + 4.56 0.04x = -4.88 + 4.56 Combine like terms: -4.88 + 4.56 = -0.32 0.04x = -0.32 Divide each side by '0.04'. x = -8 Simplifying x = -8
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