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Simplifying -7(3x + 2x) = 0.5(3x + -4) + 2x Combine like terms: 3x + 2x = 5x -7(5x) = 0.5(3x + -4) + 2x Remove parenthesis around (5x) -7 * 5x = 0.5(3x + -4) + 2x Multiply -7 * 5 -35x = 0.5(3x + -4) + 2x Reorder the terms: -35x = 0.5(-4 + 3x) + 2x -35x = (-4 * 0.5 + 3x * 0.5) + 2x -35x = (-2 + 1.5x) + 2x Combine like terms: 1.5x + 2x = 3.5x -35x = -2 + 3.5x Solving -35x = -2 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -35x + -3.5x = -2 + 3.5x + -3.5x Combine like terms: -35x + -3.5x = -38.5x -38.5x = -2 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -38.5x = -2 + 0.0 -38.5x = -2 Divide each side by '-38.5'. x = 0.05194805195 Simplifying x = 0.05194805195
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