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Simplifying 4.165x + 30.0225 = -7.8(-6.8x + 5.7) Reorder the terms: 30.0225 + 4.165x = -7.8(-6.8x + 5.7) Reorder the terms: 30.0225 + 4.165x = -7.8(5.7 + -6.8x) 30.0225 + 4.165x = (5.7 * -7.8 + -6.8x * -7.8) 30.0225 + 4.165x = (-44.46 + 53.04x) Solving 30.0225 + 4.165x = -44.46 + 53.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53.04x' to each side of the equation. 30.0225 + 4.165x + -53.04x = -44.46 + 53.04x + -53.04x Combine like terms: 4.165x + -53.04x = -48.875x 30.0225 + -48.875x = -44.46 + 53.04x + -53.04x Combine like terms: 53.04x + -53.04x = 0.00 30.0225 + -48.875x = -44.46 + 0.00 30.0225 + -48.875x = -44.46 Add '-30.0225' to each side of the equation. 30.0225 + -30.0225 + -48.875x = -44.46 + -30.0225 Combine like terms: 30.0225 + -30.0225 = 0.0000 0.0000 + -48.875x = -44.46 + -30.0225 -48.875x = -44.46 + -30.0225 Combine like terms: -44.46 + -30.0225 = -74.4825 -48.875x = -74.4825 Divide each side by '-48.875'. x = 1.523938619 Simplifying x = 1.523938619
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