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Simplifying 5.7x + 35.7 = 1.2(x + -4) Reorder the terms: 35.7 + 5.7x = 1.2(x + -4) Reorder the terms: 35.7 + 5.7x = 1.2(-4 + x) 35.7 + 5.7x = (-4 * 1.2 + x * 1.2) 35.7 + 5.7x = (-4.8 + 1.2x) Solving 35.7 + 5.7x = -4.8 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 35.7 + 5.7x + -1.2x = -4.8 + 1.2x + -1.2x Combine like terms: 5.7x + -1.2x = 4.5x 35.7 + 4.5x = -4.8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 35.7 + 4.5x = -4.8 + 0.0 35.7 + 4.5x = -4.8 Add '-35.7' to each side of the equation. 35.7 + -35.7 + 4.5x = -4.8 + -35.7 Combine like terms: 35.7 + -35.7 = 0.0 0.0 + 4.5x = -4.8 + -35.7 4.5x = -4.8 + -35.7 Combine like terms: -4.8 + -35.7 = -40.5 4.5x = -40.5 Divide each side by '4.5'. x = -9 Simplifying x = -9
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