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Simplifying 0.7x + -0.4(9 + -2x) = 0.9(x + -4) 0.7x + (9 * -0.4 + -2x * -0.4) = 0.9(x + -4) 0.7x + (-3.6 + 0.8x) = 0.9(x + -4) Reorder the terms: -3.6 + 0.7x + 0.8x = 0.9(x + -4) Combine like terms: 0.7x + 0.8x = 1.5x -3.6 + 1.5x = 0.9(x + -4) Reorder the terms: -3.6 + 1.5x = 0.9(-4 + x) -3.6 + 1.5x = (-4 * 0.9 + x * 0.9) -3.6 + 1.5x = (-3.6 + 0.9x) Add '3.6' to each side of the equation. -3.6 + 3.6 + 1.5x = -3.6 + 3.6 + 0.9x Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1.5x = -3.6 + 3.6 + 0.9x 1.5x = -3.6 + 3.6 + 0.9x Combine like terms: -3.6 + 3.6 = 0.0 1.5x = 0.0 + 0.9x 1.5x = 0.9x Solving 1.5x = 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1.5x + -0.9x = 0.9x + -0.9x Combine like terms: 1.5x + -0.9x = 0.6x 0.6x = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.6x = 0.0 Divide each side by '0.6'. x = 0 Simplifying x = 0
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