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Simplifying 0.2x + -0.4(18 + -4x) = -0.7(x + -4) 0.2x + (18 * -0.4 + -4x * -0.4) = -0.7(x + -4) 0.2x + (-7.2 + 1.6x) = -0.7(x + -4) Reorder the terms: -7.2 + 0.2x + 1.6x = -0.7(x + -4) Combine like terms: 0.2x + 1.6x = 1.8x -7.2 + 1.8x = -0.7(x + -4) Reorder the terms: -7.2 + 1.8x = -0.7(-4 + x) -7.2 + 1.8x = (-4 * -0.7 + x * -0.7) -7.2 + 1.8x = (2.8 + -0.7x) Solving -7.2 + 1.8x = 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. -7.2 + 1.8x + 0.7x = 2.8 + -0.7x + 0.7x Combine like terms: 1.8x + 0.7x = 2.5x -7.2 + 2.5x = 2.8 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -7.2 + 2.5x = 2.8 + 0.0 -7.2 + 2.5x = 2.8 Add '7.2' to each side of the equation. -7.2 + 7.2 + 2.5x = 2.8 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 2.5x = 2.8 + 7.2 2.5x = 2.8 + 7.2 Combine like terms: 2.8 + 7.2 = 10 2.5x = 10 Divide each side by '2.5'. x = 4 Simplifying x = 4
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