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Simplifying 0.7x + -0.8(17 + -4x) = -0.5(x + -8) 0.7x + (17 * -0.8 + -4x * -0.8) = -0.5(x + -8) 0.7x + (-13.6 + 3.2x) = -0.5(x + -8) Reorder the terms: -13.6 + 0.7x + 3.2x = -0.5(x + -8) Combine like terms: 0.7x + 3.2x = 3.9x -13.6 + 3.9x = -0.5(x + -8) Reorder the terms: -13.6 + 3.9x = -0.5(-8 + x) -13.6 + 3.9x = (-8 * -0.5 + x * -0.5) -13.6 + 3.9x = (4 + -0.5x) Solving -13.6 + 3.9x = 4 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -13.6 + 3.9x + 0.5x = 4 + -0.5x + 0.5x Combine like terms: 3.9x + 0.5x = 4.4x -13.6 + 4.4x = 4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -13.6 + 4.4x = 4 + 0.0 -13.6 + 4.4x = 4 Add '13.6' to each side of the equation. -13.6 + 13.6 + 4.4x = 4 + 13.6 Combine like terms: -13.6 + 13.6 = 0.0 0.0 + 4.4x = 4 + 13.6 4.4x = 4 + 13.6 Combine like terms: 4 + 13.6 = 17.6 4.4x = 17.6 Divide each side by '4.4'. x = 4 Simplifying x = 4
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