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Simplifying 0.04(3x + -1) + 0.9(x + -3) = -0.18 Reorder the terms: 0.04(-1 + 3x) + 0.9(x + -3) = -0.18 (-1 * 0.04 + 3x * 0.04) + 0.9(x + -3) = -0.18 (-0.04 + 0.12x) + 0.9(x + -3) = -0.18 Reorder the terms: -0.04 + 0.12x + 0.9(-3 + x) = -0.18 -0.04 + 0.12x + (-3 * 0.9 + x * 0.9) = -0.18 -0.04 + 0.12x + (-2.7 + 0.9x) = -0.18 Reorder the terms: -0.04 + -2.7 + 0.12x + 0.9x = -0.18 Combine like terms: -0.04 + -2.7 = -2.74 -2.74 + 0.12x + 0.9x = -0.18 Combine like terms: 0.12x + 0.9x = 1.02x -2.74 + 1.02x = -0.18 Solving -2.74 + 1.02x = -0.18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.74' to each side of the equation. -2.74 + 2.74 + 1.02x = -0.18 + 2.74 Combine like terms: -2.74 + 2.74 = 0.00 0.00 + 1.02x = -0.18 + 2.74 1.02x = -0.18 + 2.74 Combine like terms: -0.18 + 2.74 = 2.56 1.02x = 2.56 Divide each side by '1.02'. x = 2.509803922 Simplifying x = 2.509803922
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