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Simplifying 5x + -2(5 + -3x) = -0.4(x + -5) 5x + (5 * -2 + -3x * -2) = -0.4(x + -5) 5x + (-10 + 6x) = -0.4(x + -5) Reorder the terms: -10 + 5x + 6x = -0.4(x + -5) Combine like terms: 5x + 6x = 11x -10 + 11x = -0.4(x + -5) Reorder the terms: -10 + 11x = -0.4(-5 + x) -10 + 11x = (-5 * -0.4 + x * -0.4) -10 + 11x = (2 + -0.4x) Solving -10 + 11x = 2 + -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. -10 + 11x + 0.4x = 2 + -0.4x + 0.4x Combine like terms: 11x + 0.4x = 11.4x -10 + 11.4x = 2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -10 + 11.4x = 2 + 0.0 -10 + 11.4x = 2 Add '10' to each side of the equation. -10 + 10 + 11.4x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 11.4x = 2 + 10 11.4x = 2 + 10 Combine like terms: 2 + 10 = 12 11.4x = 12 Divide each side by '11.4'. x = 1.052631579 Simplifying x = 1.052631579
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