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Simplifying 0.9x + -0.3(20 + -2x) = -0.7(x + -4) 0.9x + (20 * -0.3 + -2x * -0.3) = -0.7(x + -4) 0.9x + (-6 + 0.6x) = -0.7(x + -4) Reorder the terms: -6 + 0.9x + 0.6x = -0.7(x + -4) Combine like terms: 0.9x + 0.6x = 1.5x -6 + 1.5x = -0.7(x + -4) Reorder the terms: -6 + 1.5x = -0.7(-4 + x) -6 + 1.5x = (-4 * -0.7 + x * -0.7) -6 + 1.5x = (2.8 + -0.7x) Solving -6 + 1.5x = 2.8 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. -6 + 1.5x + 0.7x = 2.8 + -0.7x + 0.7x Combine like terms: 1.5x + 0.7x = 2.2x -6 + 2.2x = 2.8 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -6 + 2.2x = 2.8 + 0.0 -6 + 2.2x = 2.8 Add '6' to each side of the equation. -6 + 6 + 2.2x = 2.8 + 6 Combine like terms: -6 + 6 = 0 0 + 2.2x = 2.8 + 6 2.2x = 2.8 + 6 Combine like terms: 2.8 + 6 = 8.8 2.2x = 8.8 Divide each side by '2.2'. x = 4 Simplifying x = 4
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