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Simplifying 0.18x + 0.6(x + -3) = 0.01(4x + -4) Reorder the terms: 0.18x + 0.6(-3 + x) = 0.01(4x + -4) 0.18x + (-3 * 0.6 + x * 0.6) = 0.01(4x + -4) 0.18x + (-1.8 + 0.6x) = 0.01(4x + -4) Reorder the terms: -1.8 + 0.18x + 0.6x = 0.01(4x + -4) Combine like terms: 0.18x + 0.6x = 0.78x -1.8 + 0.78x = 0.01(4x + -4) Reorder the terms: -1.8 + 0.78x = 0.01(-4 + 4x) -1.8 + 0.78x = (-4 * 0.01 + 4x * 0.01) -1.8 + 0.78x = (-0.04 + 0.04x) Solving -1.8 + 0.78x = -0.04 + 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. -1.8 + 0.78x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 0.78x + -0.04x = 0.74x -1.8 + 0.74x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -1.8 + 0.74x = -0.04 + 0.00 -1.8 + 0.74x = -0.04 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.74x = -0.04 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.74x = -0.04 + 1.8 0.74x = -0.04 + 1.8 Combine like terms: -0.04 + 1.8 = 1.76 0.74x = 1.76 Divide each side by '0.74'. x = 2.378378378 Simplifying x = 2.378378378
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