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Simplifying 0.3x + -0.1(1 + -4x) = -0.5(x + -7) 0.3x + (1 * -0.1 + -4x * -0.1) = -0.5(x + -7) 0.3x + (-0.1 + 0.4x) = -0.5(x + -7) Reorder the terms: -0.1 + 0.3x + 0.4x = -0.5(x + -7) Combine like terms: 0.3x + 0.4x = 0.7x -0.1 + 0.7x = -0.5(x + -7) Reorder the terms: -0.1 + 0.7x = -0.5(-7 + x) -0.1 + 0.7x = (-7 * -0.5 + x * -0.5) -0.1 + 0.7x = (3.5 + -0.5x) Solving -0.1 + 0.7x = 3.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -0.1 + 0.7x + 0.5x = 3.5 + -0.5x + 0.5x Combine like terms: 0.7x + 0.5x = 1.2x -0.1 + 1.2x = 3.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -0.1 + 1.2x = 3.5 + 0.0 -0.1 + 1.2x = 3.5 Add '0.1' to each side of the equation. -0.1 + 0.1 + 1.2x = 3.5 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 1.2x = 3.5 + 0.1 1.2x = 3.5 + 0.1 Combine like terms: 3.5 + 0.1 = 3.6 1.2x = 3.6 Divide each side by '1.2'. x = 3 Simplifying x = 3
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