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Simplifying 2(4x + -2) + -1.5x = 1.5x + -2 Reorder the terms: 2(-2 + 4x) + -1.5x = 1.5x + -2 (-2 * 2 + 4x * 2) + -1.5x = 1.5x + -2 (-4 + 8x) + -1.5x = 1.5x + -2 Combine like terms: 8x + -1.5x = 6.5x -4 + 6.5x = 1.5x + -2 Reorder the terms: -4 + 6.5x = -2 + 1.5x Solving -4 + 6.5x = -2 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -4 + 6.5x + -1.5x = -2 + 1.5x + -1.5x Combine like terms: 6.5x + -1.5x = 5x -4 + 5x = -2 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -4 + 5x = -2 + 0.0 -4 + 5x = -2 Add '4' to each side of the equation. -4 + 4 + 5x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = -2 + 4 5x = -2 + 4 Combine like terms: -2 + 4 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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