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Simplifying 4.2x + 7.12 = 6x + 33.4 Reorder the terms: 7.12 + 4.2x = 6x + 33.4 Reorder the terms: 7.12 + 4.2x = 33.4 + 6x Solving 7.12 + 4.2x = 33.4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7.12 + 4.2x + -6x = 33.4 + 6x + -6x Combine like terms: 4.2x + -6x = -1.8x 7.12 + -1.8x = 33.4 + 6x + -6x Combine like terms: 6x + -6x = 0 7.12 + -1.8x = 33.4 + 0 7.12 + -1.8x = 33.4 Add '-7.12' to each side of the equation. 7.12 + -7.12 + -1.8x = 33.4 + -7.12 Combine like terms: 7.12 + -7.12 = 0.00 0.00 + -1.8x = 33.4 + -7.12 -1.8x = 33.4 + -7.12 Combine like terms: 33.4 + -7.12 = 26.28 -1.8x = 26.28 Divide each side by '-1.8'. x = -14.6 Simplifying x = -14.6
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