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Simplifying 0.2(x + -5) = 4x + -3(x + -1) + 8.8 Reorder the terms: 0.2(-5 + x) = 4x + -3(x + -1) + 8.8 (-5 * 0.2 + x * 0.2) = 4x + -3(x + -1) + 8.8 (-1 + 0.2x) = 4x + -3(x + -1) + 8.8 Reorder the terms: -1 + 0.2x = 4x + -3(-1 + x) + 8.8 -1 + 0.2x = 4x + (-1 * -3 + x * -3) + 8.8 -1 + 0.2x = 4x + (3 + -3x) + 8.8 Reorder the terms: -1 + 0.2x = 3 + 8.8 + 4x + -3x Combine like terms: 3 + 8.8 = 11.8 -1 + 0.2x = 11.8 + 4x + -3x Combine like terms: 4x + -3x = 1x -1 + 0.2x = 11.8 + 1x Solving -1 + 0.2x = 11.8 + 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. -1 + 0.2x + -1x = 11.8 + 1x + -1x Combine like terms: 0.2x + -1x = -0.8x -1 + -0.8x = 11.8 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + -0.8x = 11.8 + 0 -1 + -0.8x = 11.8 Add '1' to each side of the equation. -1 + 1 + -0.8x = 11.8 + 1 Combine like terms: -1 + 1 = 0 0 + -0.8x = 11.8 + 1 -0.8x = 11.8 + 1 Combine like terms: 11.8 + 1 = 12.8 -0.8x = 12.8 Divide each side by '-0.8'. x = -16 Simplifying x = -16
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