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Simplifying 1.5x + -7 = 3x + 2 Reorder the terms: -7 + 1.5x = 3x + 2 Reorder the terms: -7 + 1.5x = 2 + 3x Solving -7 + 1.5x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 1.5x + -3x = 2 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x -7 + -1.5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -1.5x = 2 + 0 -7 + -1.5x = 2 Add '7' to each side of the equation. -7 + 7 + -1.5x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -1.5x = 2 + 7 -1.5x = 2 + 7 Combine like terms: 2 + 7 = 9 -1.5x = 9 Divide each side by '-1.5'. x = -6 Simplifying x = -6
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