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Simplifying 5.8x + 14 = 7.8x + -4 Reorder the terms: 14 + 5.8x = 7.8x + -4 Reorder the terms: 14 + 5.8x = -4 + 7.8x Solving 14 + 5.8x = -4 + 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. 14 + 5.8x + -7.8x = -4 + 7.8x + -7.8x Combine like terms: 5.8x + -7.8x = -2x 14 + -2x = -4 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 14 + -2x = -4 + 0.0 14 + -2x = -4 Add '-14' to each side of the equation. 14 + -14 + -2x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -4 + -14 -2x = -4 + -14 Combine like terms: -4 + -14 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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