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Simplifying 0.9x + -0.5(15 + -4x) = -0.6(x + -5) 0.9x + (15 * -0.5 + -4x * -0.5) = -0.6(x + -5) 0.9x + (-7.5 + 2x) = -0.6(x + -5) Reorder the terms: -7.5 + 0.9x + 2x = -0.6(x + -5) Combine like terms: 0.9x + 2x = 2.9x -7.5 + 2.9x = -0.6(x + -5) Reorder the terms: -7.5 + 2.9x = -0.6(-5 + x) -7.5 + 2.9x = (-5 * -0.6 + x * -0.6) -7.5 + 2.9x = (3 + -0.6x) Solving -7.5 + 2.9x = 3 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -7.5 + 2.9x + 0.6x = 3 + -0.6x + 0.6x Combine like terms: 2.9x + 0.6x = 3.5x -7.5 + 3.5x = 3 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -7.5 + 3.5x = 3 + 0.0 -7.5 + 3.5x = 3 Add '7.5' to each side of the equation. -7.5 + 7.5 + 3.5x = 3 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 3.5x = 3 + 7.5 3.5x = 3 + 7.5 Combine like terms: 3 + 7.5 = 10.5 3.5x = 10.5 Divide each side by '3.5'. x = 3 Simplifying x = 3
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