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Simplifying 0.14x + 0.8(x + -3) = 0.01(2x + -4) Reorder the terms: 0.14x + 0.8(-3 + x) = 0.01(2x + -4) 0.14x + (-3 * 0.8 + x * 0.8) = 0.01(2x + -4) 0.14x + (-2.4 + 0.8x) = 0.01(2x + -4) Reorder the terms: -2.4 + 0.14x + 0.8x = 0.01(2x + -4) Combine like terms: 0.14x + 0.8x = 0.94x -2.4 + 0.94x = 0.01(2x + -4) Reorder the terms: -2.4 + 0.94x = 0.01(-4 + 2x) -2.4 + 0.94x = (-4 * 0.01 + 2x * 0.01) -2.4 + 0.94x = (-0.04 + 0.02x) Solving -2.4 + 0.94x = -0.04 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -2.4 + 0.94x + -0.02x = -0.04 + 0.02x + -0.02x Combine like terms: 0.94x + -0.02x = 0.92x -2.4 + 0.92x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -2.4 + 0.92x = -0.04 + 0.00 -2.4 + 0.92x = -0.04 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.92x = -0.04 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.92x = -0.04 + 2.4 0.92x = -0.04 + 2.4 Combine like terms: -0.04 + 2.4 = 2.36 0.92x = 2.36 Divide each side by '0.92'. x = 2.565217391 Simplifying x = 2.565217391
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