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Simplifying 4.3x + 12 = 5.7x + 33 Reorder the terms: 12 + 4.3x = 5.7x + 33 Reorder the terms: 12 + 4.3x = 33 + 5.7x Solving 12 + 4.3x = 33 + 5.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.7x' to each side of the equation. 12 + 4.3x + -5.7x = 33 + 5.7x + -5.7x Combine like terms: 4.3x + -5.7x = -1.4x 12 + -1.4x = 33 + 5.7x + -5.7x Combine like terms: 5.7x + -5.7x = 0.0 12 + -1.4x = 33 + 0.0 12 + -1.4x = 33 Add '-12' to each side of the equation. 12 + -12 + -1.4x = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -1.4x = 33 + -12 -1.4x = 33 + -12 Combine like terms: 33 + -12 = 21 -1.4x = 21 Divide each side by '-1.4'. x = -15 Simplifying x = -15
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