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Simplifying 0.7x + -0.1(7 + -2x) = -0.4(x + -8) 0.7x + (7 * -0.1 + -2x * -0.1) = -0.4(x + -8) 0.7x + (-0.7 + 0.2x) = -0.4(x + -8) Reorder the terms: -0.7 + 0.7x + 0.2x = -0.4(x + -8) Combine like terms: 0.7x + 0.2x = 0.9x -0.7 + 0.9x = -0.4(x + -8) Reorder the terms: -0.7 + 0.9x = -0.4(-8 + x) -0.7 + 0.9x = (-8 * -0.4 + x * -0.4) -0.7 + 0.9x = (3.2 + -0.4x) Solving -0.7 + 0.9x = 3.2 + -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. -0.7 + 0.9x + 0.4x = 3.2 + -0.4x + 0.4x Combine like terms: 0.9x + 0.4x = 1.3x -0.7 + 1.3x = 3.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -0.7 + 1.3x = 3.2 + 0.0 -0.7 + 1.3x = 3.2 Add '0.7' to each side of the equation. -0.7 + 0.7 + 1.3x = 3.2 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 1.3x = 3.2 + 0.7 1.3x = 3.2 + 0.7 Combine like terms: 3.2 + 0.7 = 3.9 1.3x = 3.9 Divide each side by '1.3'. x = 3 Simplifying x = 3
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