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Simplifying 0.2(x + -4) = 3x + -2(x + -1) + 10.8 Reorder the terms: 0.2(-4 + x) = 3x + -2(x + -1) + 10.8 (-4 * 0.2 + x * 0.2) = 3x + -2(x + -1) + 10.8 (-0.8 + 0.2x) = 3x + -2(x + -1) + 10.8 Reorder the terms: -0.8 + 0.2x = 3x + -2(-1 + x) + 10.8 -0.8 + 0.2x = 3x + (-1 * -2 + x * -2) + 10.8 -0.8 + 0.2x = 3x + (2 + -2x) + 10.8 Reorder the terms: -0.8 + 0.2x = 2 + 10.8 + 3x + -2x Combine like terms: 2 + 10.8 = 12.8 -0.8 + 0.2x = 12.8 + 3x + -2x Combine like terms: 3x + -2x = 1x -0.8 + 0.2x = 12.8 + 1x Solving -0.8 + 0.2x = 12.8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.8 + 0.2x + -1x = 12.8 + 1x + -1x Combine like terms: 0.2x + -1x = -0.8x -0.8 + -0.8x = 12.8 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.8 + -0.8x = 12.8 + 0 -0.8 + -0.8x = 12.8 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.8x = 12.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.8x = 12.8 + 0.8 -0.8x = 12.8 + 0.8 Combine like terms: 12.8 + 0.8 = 13.6 -0.8x = 13.6 Divide each side by '-0.8'. x = -17 Simplifying x = -17
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