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Simplifying 0.4x + 0.4(20) = 0.3(x + -40) Multiply 0.4 * 20 0.4x + 8 = 0.3(x + -40) Reorder the terms: 8 + 0.4x = 0.3(x + -40) Reorder the terms: 8 + 0.4x = 0.3(-40 + x) 8 + 0.4x = (-40 * 0.3 + x * 0.3) 8 + 0.4x = (-12 + 0.3x) Solving 8 + 0.4x = -12 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 8 + 0.4x + -0.3x = -12 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 8 + 0.1x = -12 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 8 + 0.1x = -12 + 0.0 8 + 0.1x = -12 Add '-8' to each side of the equation. 8 + -8 + 0.1x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 0.1x = -12 + -8 0.1x = -12 + -8 Combine like terms: -12 + -8 = -20 0.1x = -20 Divide each side by '0.1'. x = -200 Simplifying x = -200
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