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Simplifying 38.6 + -5.6x = 4.2x + -30 Reorder the terms: 38.6 + -5.6x = -30 + 4.2x Solving 38.6 + -5.6x = -30 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. 38.6 + -5.6x + -4.2x = -30 + 4.2x + -4.2x Combine like terms: -5.6x + -4.2x = -9.8x 38.6 + -9.8x = -30 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 38.6 + -9.8x = -30 + 0.0 38.6 + -9.8x = -30 Add '-38.6' to each side of the equation. 38.6 + -38.6 + -9.8x = -30 + -38.6 Combine like terms: 38.6 + -38.6 = 0.0 0.0 + -9.8x = -30 + -38.6 -9.8x = -30 + -38.6 Combine like terms: -30 + -38.6 = -68.6 -9.8x = -68.6 Divide each side by '-9.8'. x = 7 Simplifying x = 7
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