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Simplifying 0.02(X + -3) + -0.1 = 0.4(0.8X + -1) Reorder the terms: 0.02(-3 + X) + -0.1 = 0.4(0.8X + -1) (-3 * 0.02 + X * 0.02) + -0.1 = 0.4(0.8X + -1) (-0.06 + 0.02X) + -0.1 = 0.4(0.8X + -1) Reorder the terms: -0.06 + -0.1 + 0.02X = 0.4(0.8X + -1) Combine like terms: -0.06 + -0.1 = -0.16 -0.16 + 0.02X = 0.4(0.8X + -1) Reorder the terms: -0.16 + 0.02X = 0.4(-1 + 0.8X) -0.16 + 0.02X = (-1 * 0.4 + 0.8X * 0.4) -0.16 + 0.02X = (-0.4 + 0.32X) Solving -0.16 + 0.02X = -0.4 + 0.32X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.32X' to each side of the equation. -0.16 + 0.02X + -0.32X = -0.4 + 0.32X + -0.32X Combine like terms: 0.02X + -0.32X = -0.3X -0.16 + -0.3X = -0.4 + 0.32X + -0.32X Combine like terms: 0.32X + -0.32X = 0.00 -0.16 + -0.3X = -0.4 + 0.00 -0.16 + -0.3X = -0.4 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.3X = -0.4 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.3X = -0.4 + 0.16 -0.3X = -0.4 + 0.16 Combine like terms: -0.4 + 0.16 = -0.24 -0.3X = -0.24 Divide each side by '-0.3'. X = 0.8 Simplifying X = 0.8
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