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Simplifying 0.4(5x + -1.6) = 3.8(x + -2) + 0.3 Reorder the terms: 0.4(-1.6 + 5x) = 3.8(x + -2) + 0.3 (-1.6 * 0.4 + 5x * 0.4) = 3.8(x + -2) + 0.3 (-0.64 + 2x) = 3.8(x + -2) + 0.3 Reorder the terms: -0.64 + 2x = 3.8(-2 + x) + 0.3 -0.64 + 2x = (-2 * 3.8 + x * 3.8) + 0.3 -0.64 + 2x = (-7.6 + 3.8x) + 0.3 Reorder the terms: -0.64 + 2x = -7.6 + 0.3 + 3.8x Combine like terms: -7.6 + 0.3 = -7.3 -0.64 + 2x = -7.3 + 3.8x Solving -0.64 + 2x = -7.3 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. -0.64 + 2x + -3.8x = -7.3 + 3.8x + -3.8x Combine like terms: 2x + -3.8x = -1.8x -0.64 + -1.8x = -7.3 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 -0.64 + -1.8x = -7.3 + 0.0 -0.64 + -1.8x = -7.3 Add '0.64' to each side of the equation. -0.64 + 0.64 + -1.8x = -7.3 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + -1.8x = -7.3 + 0.64 -1.8x = -7.3 + 0.64 Combine like terms: -7.3 + 0.64 = -6.66 -1.8x = -6.66 Divide each side by '-1.8'. x = 3.7 Simplifying x = 3.7
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