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Simplifying 0.3x + -0.2(3 + -5x) = -0.4(x + -7) 0.3x + (3 * -0.2 + -5x * -0.2) = -0.4(x + -7) 0.3x + (-0.6 + 1x) = -0.4(x + -7) Reorder the terms: -0.6 + 0.3x + 1x = -0.4(x + -7) Combine like terms: 0.3x + 1x = 1.3x -0.6 + 1.3x = -0.4(x + -7) Reorder the terms: -0.6 + 1.3x = -0.4(-7 + x) -0.6 + 1.3x = (-7 * -0.4 + x * -0.4) -0.6 + 1.3x = (2.8 + -0.4x) Solving -0.6 + 1.3x = 2.8 + -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. -0.6 + 1.3x + 0.4x = 2.8 + -0.4x + 0.4x Combine like terms: 1.3x + 0.4x = 1.7x -0.6 + 1.7x = 2.8 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -0.6 + 1.7x = 2.8 + 0.0 -0.6 + 1.7x = 2.8 Add '0.6' to each side of the equation. -0.6 + 0.6 + 1.7x = 2.8 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1.7x = 2.8 + 0.6 1.7x = 2.8 + 0.6 Combine like terms: 2.8 + 0.6 = 3.4 1.7x = 3.4 Divide each side by '1.7'. x = 2 Simplifying x = 2
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