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Simplifying 0.4x + -0.3(8 + -4x) = -0.6(x + -7) 0.4x + (8 * -0.3 + -4x * -0.3) = -0.6(x + -7) 0.4x + (-2.4 + 1.2x) = -0.6(x + -7) Reorder the terms: -2.4 + 0.4x + 1.2x = -0.6(x + -7) Combine like terms: 0.4x + 1.2x = 1.6x -2.4 + 1.6x = -0.6(x + -7) Reorder the terms: -2.4 + 1.6x = -0.6(-7 + x) -2.4 + 1.6x = (-7 * -0.6 + x * -0.6) -2.4 + 1.6x = (4.2 + -0.6x) Solving -2.4 + 1.6x = 4.2 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -2.4 + 1.6x + 0.6x = 4.2 + -0.6x + 0.6x Combine like terms: 1.6x + 0.6x = 2.2x -2.4 + 2.2x = 4.2 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -2.4 + 2.2x = 4.2 + 0.0 -2.4 + 2.2x = 4.2 Add '2.4' to each side of the equation. -2.4 + 2.4 + 2.2x = 4.2 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 2.2x = 4.2 + 2.4 2.2x = 4.2 + 2.4 Combine like terms: 4.2 + 2.4 = 6.6 2.2x = 6.6 Divide each side by '2.2'. x = 3 Simplifying x = 3
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