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Simplifying -2.4x + 5 = 7.8x + -3 Reorder the terms: 5 + -2.4x = 7.8x + -3 Reorder the terms: 5 + -2.4x = -3 + 7.8x Solving 5 + -2.4x = -3 + 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. 5 + -2.4x + -7.8x = -3 + 7.8x + -7.8x Combine like terms: -2.4x + -7.8x = -10.2x 5 + -10.2x = -3 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 5 + -10.2x = -3 + 0.0 5 + -10.2x = -3 Add '-5' to each side of the equation. 5 + -5 + -10.2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -10.2x = -3 + -5 -10.2x = -3 + -5 Combine like terms: -3 + -5 = -8 -10.2x = -8 Divide each side by '-10.2'. x = 0.7843137255 Simplifying x = 0.7843137255
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