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Simplifying 0.09(x + 300) + 0.11(5x + -129) = 0.2(6.45 + -4x) Reorder the terms: 0.09(300 + x) + 0.11(5x + -129) = 0.2(6.45 + -4x) (300 * 0.09 + x * 0.09) + 0.11(5x + -129) = 0.2(6.45 + -4x) (27 + 0.09x) + 0.11(5x + -129) = 0.2(6.45 + -4x) Reorder the terms: 27 + 0.09x + 0.11(-129 + 5x) = 0.2(6.45 + -4x) 27 + 0.09x + (-129 * 0.11 + 5x * 0.11) = 0.2(6.45 + -4x) 27 + 0.09x + (-14.19 + 0.55x) = 0.2(6.45 + -4x) Reorder the terms: 27 + -14.19 + 0.09x + 0.55x = 0.2(6.45 + -4x) Combine like terms: 27 + -14.19 = 12.81 12.81 + 0.09x + 0.55x = 0.2(6.45 + -4x) Combine like terms: 0.09x + 0.55x = 0.64x 12.81 + 0.64x = 0.2(6.45 + -4x) 12.81 + 0.64x = (6.45 * 0.2 + -4x * 0.2) 12.81 + 0.64x = (1.29 + -0.8x) Solving 12.81 + 0.64x = 1.29 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 12.81 + 0.64x + 0.8x = 1.29 + -0.8x + 0.8x Combine like terms: 0.64x + 0.8x = 1.44x 12.81 + 1.44x = 1.29 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 12.81 + 1.44x = 1.29 + 0.0 12.81 + 1.44x = 1.29 Add '-12.81' to each side of the equation. 12.81 + -12.81 + 1.44x = 1.29 + -12.81 Combine like terms: 12.81 + -12.81 = 0.00 0.00 + 1.44x = 1.29 + -12.81 1.44x = 1.29 + -12.81 Combine like terms: 1.29 + -12.81 = -11.52 1.44x = -11.52 Divide each side by '1.44'. x = -8 Simplifying x = -8
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