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Simplifying 0.4x + -0.2(3 + -3x) = 0.6(x + -7) 0.4x + (3 * -0.2 + -3x * -0.2) = 0.6(x + -7) 0.4x + (-0.6 + 0.6x) = 0.6(x + -7) Reorder the terms: -0.6 + 0.4x + 0.6x = 0.6(x + -7) Combine like terms: 0.4x + 0.6x = 1x -0.6 + 1x = 0.6(x + -7) Reorder the terms: -0.6 + 1x = 0.6(-7 + x) -0.6 + 1x = (-7 * 0.6 + x * 0.6) -0.6 + 1x = (-4.2 + 0.6x) Solving -0.6 + 1x = -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. -0.6 + 1x + -0.6x = -4.2 + 0.6x + -0.6x Combine like terms: 1x + -0.6x = 0.4x -0.6 + 0.4x = -4.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.6 + 0.4x = -4.2 + 0.0 -0.6 + 0.4x = -4.2 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.4x = -4.2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.4x = -4.2 + 0.6 0.4x = -4.2 + 0.6 Combine like terms: -4.2 + 0.6 = -3.6 0.4x = -3.6 Divide each side by '0.4'. x = -9 Simplifying x = -9
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