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Simplifying 2.8x + 3 = 5.2x + -9 Reorder the terms: 3 + 2.8x = 5.2x + -9 Reorder the terms: 3 + 2.8x = -9 + 5.2x Solving 3 + 2.8x = -9 + 5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2x' to each side of the equation. 3 + 2.8x + -5.2x = -9 + 5.2x + -5.2x Combine like terms: 2.8x + -5.2x = -2.4x 3 + -2.4x = -9 + 5.2x + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 3 + -2.4x = -9 + 0.0 3 + -2.4x = -9 Add '-3' to each side of the equation. 3 + -3 + -2.4x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2.4x = -9 + -3 -2.4x = -9 + -3 Combine like terms: -9 + -3 = -12 -2.4x = -12 Divide each side by '-2.4'. x = 5 Simplifying x = 5
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