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Simplifying (x + -3) * 1.5 = 6.5(x + 2) Reorder the terms: (-3 + x) * 1.5 = 6.5(x + 2) Reorder the terms for easier multiplication: 1.5(-3 + x) = 6.5(x + 2) (-3 * 1.5 + x * 1.5) = 6.5(x + 2) (-4.5 + 1.5x) = 6.5(x + 2) Reorder the terms: -4.5 + 1.5x = 6.5(2 + x) -4.5 + 1.5x = (2 * 6.5 + x * 6.5) -4.5 + 1.5x = (13 + 6.5x) Solving -4.5 + 1.5x = 13 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. -4.5 + 1.5x + -6.5x = 13 + 6.5x + -6.5x Combine like terms: 1.5x + -6.5x = -5x -4.5 + -5x = 13 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 -4.5 + -5x = 13 + 0.0 -4.5 + -5x = 13 Add '4.5' to each side of the equation. -4.5 + 4.5 + -5x = 13 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -5x = 13 + 4.5 -5x = 13 + 4.5 Combine like terms: 13 + 4.5 = 17.5 -5x = 17.5 Divide each side by '-5'. x = -3.5 Simplifying x = -3.5
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