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Simplifying 0.6(-1x + -1) + 0.2 = -0.8(2x + 0.05) Reorder the terms: 0.6(-1 + -1x) + 0.2 = -0.8(2x + 0.05) (-1 * 0.6 + -1x * 0.6) + 0.2 = -0.8(2x + 0.05) (-0.6 + -0.6x) + 0.2 = -0.8(2x + 0.05) Reorder the terms: -0.6 + 0.2 + -0.6x = -0.8(2x + 0.05) Combine like terms: -0.6 + 0.2 = -0.4 -0.4 + -0.6x = -0.8(2x + 0.05) Reorder the terms: -0.4 + -0.6x = -0.8(0.05 + 2x) -0.4 + -0.6x = (0.05 * -0.8 + 2x * -0.8) -0.4 + -0.6x = (-0.04 + -1.6x) Solving -0.4 + -0.6x = -0.04 + -1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6x' to each side of the equation. -0.4 + -0.6x + 1.6x = -0.04 + -1.6x + 1.6x Combine like terms: -0.6x + 1.6x = 1x -0.4 + 1x = -0.04 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 -0.4 + 1x = -0.04 + 0.0 -0.4 + 1x = -0.04 Add '0.4' to each side of the equation. -0.4 + 0.4 + 1x = -0.04 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1x = -0.04 + 0.4 1x = -0.04 + 0.4 Combine like terms: -0.04 + 0.4 = 0.36 1x = 0.36 Divide each side by '1'. x = 0.36 Simplifying x = 0.36
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