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Simplifying 0.9x + -0.2(15 + -5x) = 0.4(x + -4) 0.9x + (15 * -0.2 + -5x * -0.2) = 0.4(x + -4) 0.9x + (-3 + 1x) = 0.4(x + -4) Reorder the terms: -3 + 0.9x + 1x = 0.4(x + -4) Combine like terms: 0.9x + 1x = 1.9x -3 + 1.9x = 0.4(x + -4) Reorder the terms: -3 + 1.9x = 0.4(-4 + x) -3 + 1.9x = (-4 * 0.4 + x * 0.4) -3 + 1.9x = (-1.6 + 0.4x) Solving -3 + 1.9x = -1.6 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -3 + 1.9x + -0.4x = -1.6 + 0.4x + -0.4x Combine like terms: 1.9x + -0.4x = 1.5x -3 + 1.5x = -1.6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -3 + 1.5x = -1.6 + 0.0 -3 + 1.5x = -1.6 Add '3' to each side of the equation. -3 + 3 + 1.5x = -1.6 + 3 Combine like terms: -3 + 3 = 0 0 + 1.5x = -1.6 + 3 1.5x = -1.6 + 3 Combine like terms: -1.6 + 3 = 1.4 1.5x = 1.4 Divide each side by '1.5'. x = 0.9333333333 Simplifying x = 0.9333333333
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