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Simplifying 0.1x + 8.93 = -0.3x + 4013 Reorder the terms: 8.93 + 0.1x = -0.3x + 4013 Reorder the terms: 8.93 + 0.1x = 4013 + -0.3x Solving 8.93 + 0.1x = 4013 + -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. 8.93 + 0.1x + 0.3x = 4013 + -0.3x + 0.3x Combine like terms: 0.1x + 0.3x = 0.4x 8.93 + 0.4x = 4013 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 8.93 + 0.4x = 4013 + 0.0 8.93 + 0.4x = 4013 Add '-8.93' to each side of the equation. 8.93 + -8.93 + 0.4x = 4013 + -8.93 Combine like terms: 8.93 + -8.93 = 0.00 0.00 + 0.4x = 4013 + -8.93 0.4x = 4013 + -8.93 Combine like terms: 4013 + -8.93 = 4004.07 0.4x = 4004.07 Divide each side by '0.4'. x = 10010.175 Simplifying x = 10010.175
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