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Simplifying 17 + -0.8(x + -11) = 0.4(2x + -11) Reorder the terms: 17 + -0.8(-11 + x) = 0.4(2x + -11) 17 + (-11 * -0.8 + x * -0.8) = 0.4(2x + -11) 17 + (8.8 + -0.8x) = 0.4(2x + -11) Combine like terms: 17 + 8.8 = 25.8 25.8 + -0.8x = 0.4(2x + -11) Reorder the terms: 25.8 + -0.8x = 0.4(-11 + 2x) 25.8 + -0.8x = (-11 * 0.4 + 2x * 0.4) 25.8 + -0.8x = (-4.4 + 0.8x) Solving 25.8 + -0.8x = -4.4 + 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. 25.8 + -0.8x + -0.8x = -4.4 + 0.8x + -0.8x Combine like terms: -0.8x + -0.8x = -1.6x 25.8 + -1.6x = -4.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 25.8 + -1.6x = -4.4 + 0.0 25.8 + -1.6x = -4.4 Add '-25.8' to each side of the equation. 25.8 + -25.8 + -1.6x = -4.4 + -25.8 Combine like terms: 25.8 + -25.8 = 0.0 0.0 + -1.6x = -4.4 + -25.8 -1.6x = -4.4 + -25.8 Combine like terms: -4.4 + -25.8 = -30.2 -1.6x = -30.2 Divide each side by '-1.6'. x = 18.875 Simplifying x = 18.875
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