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Simplifying 0.3x + -0.8(17 + -4x) = -0.1(x + -8) 0.3x + (17 * -0.8 + -4x * -0.8) = -0.1(x + -8) 0.3x + (-13.6 + 3.2x) = -0.1(x + -8) Reorder the terms: -13.6 + 0.3x + 3.2x = -0.1(x + -8) Combine like terms: 0.3x + 3.2x = 3.5x -13.6 + 3.5x = -0.1(x + -8) Reorder the terms: -13.6 + 3.5x = -0.1(-8 + x) -13.6 + 3.5x = (-8 * -0.1 + x * -0.1) -13.6 + 3.5x = (0.8 + -0.1x) Solving -13.6 + 3.5x = 0.8 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -13.6 + 3.5x + 0.1x = 0.8 + -0.1x + 0.1x Combine like terms: 3.5x + 0.1x = 3.6x -13.6 + 3.6x = 0.8 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -13.6 + 3.6x = 0.8 + 0.0 -13.6 + 3.6x = 0.8 Add '13.6' to each side of the equation. -13.6 + 13.6 + 3.6x = 0.8 + 13.6 Combine like terms: -13.6 + 13.6 = 0.0 0.0 + 3.6x = 0.8 + 13.6 3.6x = 0.8 + 13.6 Combine like terms: 0.8 + 13.6 = 14.4 3.6x = 14.4 Divide each side by '3.6'. x = 4 Simplifying x = 4
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