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Simplifying 0.2(x + -5) = 5x + -4(x + -1) + 4.6 Reorder the terms: 0.2(-5 + x) = 5x + -4(x + -1) + 4.6 (-5 * 0.2 + x * 0.2) = 5x + -4(x + -1) + 4.6 (-1 + 0.2x) = 5x + -4(x + -1) + 4.6 Reorder the terms: -1 + 0.2x = 5x + -4(-1 + x) + 4.6 -1 + 0.2x = 5x + (-1 * -4 + x * -4) + 4.6 -1 + 0.2x = 5x + (4 + -4x) + 4.6 Reorder the terms: -1 + 0.2x = 4 + 4.6 + 5x + -4x Combine like terms: 4 + 4.6 = 8.6 -1 + 0.2x = 8.6 + 5x + -4x Combine like terms: 5x + -4x = 1x -1 + 0.2x = 8.6 + 1x Solving -1 + 0.2x = 8.6 + 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 = 8.6 + 1x + -1x Combine like terms: 0.2x + -1x = -0.8x -1 + -0.8x = 8.6 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + -0.8x = 8.6 + 0 -1 + -0.8x = 8.6 Add '1' to each side of the equation. -1 + 1 + -0.8x = 8.6 + 1 Combine like terms: -1 + 1 = 0 0 + -0.8x = 8.6 + 1 -0.8x = 8.6 + 1 Combine like terms: 8.6 + 1 = 9.6 -0.8x = 9.6 Divide each side by '-0.8'. x = -12 Simplifying x = -12
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