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Simplifying 5.2x + 7 = 6.75x + 11.65 Reorder the terms: 7 + 5.2x = 6.75x + 11.65 Reorder the terms: 7 + 5.2x = 11.65 + 6.75x Solving 7 + 5.2x = 11.65 + 6.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.75x' to each side of the equation. 7 + 5.2x + -6.75x = 11.65 + 6.75x + -6.75x Combine like terms: 5.2x + -6.75x = -1.55x 7 + -1.55x = 11.65 + 6.75x + -6.75x Combine like terms: 6.75x + -6.75x = 0.00 7 + -1.55x = 11.65 + 0.00 7 + -1.55x = 11.65 Add '-7' to each side of the equation. 7 + -7 + -1.55x = 11.65 + -7 Combine like terms: 7 + -7 = 0 0 + -1.55x = 11.65 + -7 -1.55x = 11.65 + -7 Combine like terms: 11.65 + -7 = 4.65 -1.55x = 4.65 Divide each side by '-1.55'. x = -3 Simplifying x = -3
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