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Simplifying 0.2(x + -2) = 4x + -3(x + -1) + 3.8 Reorder the terms: 0.2(-2 + x) = 4x + -3(x + -1) + 3.8 (-2 * 0.2 + x * 0.2) = 4x + -3(x + -1) + 3.8 (-0.4 + 0.2x) = 4x + -3(x + -1) + 3.8 Reorder the terms: -0.4 + 0.2x = 4x + -3(-1 + x) + 3.8 -0.4 + 0.2x = 4x + (-1 * -3 + x * -3) + 3.8 -0.4 + 0.2x = 4x + (3 + -3x) + 3.8 Reorder the terms: -0.4 + 0.2x = 3 + 3.8 + 4x + -3x Combine like terms: 3 + 3.8 = 6.8 -0.4 + 0.2x = 6.8 + 4x + -3x Combine like terms: 4x + -3x = 1x -0.4 + 0.2x = 6.8 + 1x Solving -0.4 + 0.2x = 6.8 + 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. -0.4 + 0.2x + -1x = 6.8 + 1x + -1x Combine like terms: 0.2x + -1x = -0.8x -0.4 + -0.8x = 6.8 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.4 + -0.8x = 6.8 + 0 -0.4 + -0.8x = 6.8 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.8x = 6.8 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.8x = 6.8 + 0.4 -0.8x = 6.8 + 0.4 Combine like terms: 6.8 + 0.4 = 7.2 -0.8x = 7.2 Divide each side by '-0.8'. x = -9 Simplifying x = -9
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