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Simplifying 0.18x + 0.9(x + -3) = 0.01(4x + -2) Reorder the terms: 0.18x + 0.9(-3 + x) = 0.01(4x + -2) 0.18x + (-3 * 0.9 + x * 0.9) = 0.01(4x + -2) 0.18x + (-2.7 + 0.9x) = 0.01(4x + -2) Reorder the terms: -2.7 + 0.18x + 0.9x = 0.01(4x + -2) Combine like terms: 0.18x + 0.9x = 1.08x -2.7 + 1.08x = 0.01(4x + -2) Reorder the terms: -2.7 + 1.08x = 0.01(-2 + 4x) -2.7 + 1.08x = (-2 * 0.01 + 4x * 0.01) -2.7 + 1.08x = (-0.02 + 0.04x) Solving -2.7 + 1.08x = -0.02 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -2.7 + 1.08x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 1.08x + -0.04x = 1.04x -2.7 + 1.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.7 + 1.04x = -0.02 + 0.00 -2.7 + 1.04x = -0.02 Add '2.7' to each side of the equation. -2.7 + 2.7 + 1.04x = -0.02 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 1.04x = -0.02 + 2.7 1.04x = -0.02 + 2.7 Combine like terms: -0.02 + 2.7 = 2.68 1.04x = 2.68 Divide each side by '1.04'. x = 2.576923077 Simplifying x = 2.576923077
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