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Simplifying 4(2.55 + -1x) + -5.8x = 12.2 + -1(8 + 11.4x) (2.55 * 4 + -1x * 4) + -5.8x = 12.2 + -1(8 + 11.4x) (10.2 + -4x) + -5.8x = 12.2 + -1(8 + 11.4x) Combine like terms: -4x + -5.8x = -9.8x 10.2 + -9.8x = 12.2 + -1(8 + 11.4x) 10.2 + -9.8x = 12.2 + (8 * -1 + 11.4x * -1) 10.2 + -9.8x = 12.2 + (-8 + -11.4x) Combine like terms: 12.2 + -8 = 4.2 10.2 + -9.8x = 4.2 + -11.4x Solving 10.2 + -9.8x = 4.2 + -11.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.4x' to each side of the equation. 10.2 + -9.8x + 11.4x = 4.2 + -11.4x + 11.4x Combine like terms: -9.8x + 11.4x = 1.6x 10.2 + 1.6x = 4.2 + -11.4x + 11.4x Combine like terms: -11.4x + 11.4x = 0.0 10.2 + 1.6x = 4.2 + 0.0 10.2 + 1.6x = 4.2 Add '-10.2' to each side of the equation. 10.2 + -10.2 + 1.6x = 4.2 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + 1.6x = 4.2 + -10.2 1.6x = 4.2 + -10.2 Combine like terms: 4.2 + -10.2 = -6 1.6x = -6 Divide each side by '1.6'. x = -3.75 Simplifying x = -3.75
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