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Simplifying 5.2x + -0.5(2.4x + 2) = -17 Reorder the terms: 5.2x + -0.5(2 + 2.4x) = -17 5.2x + (2 * -0.5 + 2.4x * -0.5) = -17 5.2x + (-1 + -1.2x) = -17 Reorder the terms: -1 + 5.2x + -1.2x = -17 Combine like terms: 5.2x + -1.2x = 4x -1 + 4x = -17 Solving -1 + 4x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -17 + 1 4x = -17 + 1 Combine like terms: -17 + 1 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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