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Simplifying 3(x + -1.5) = 5x + -6 Reorder the terms: 3(-1.5 + x) = 5x + -6 (-1.5 * 3 + x * 3) = 5x + -6 (-4.5 + 3x) = 5x + -6 Reorder the terms: -4.5 + 3x = -6 + 5x Solving -4.5 + 3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4.5 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x -4.5 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -4.5 + -2x = -6 + 0 -4.5 + -2x = -6 Add '4.5' to each side of the equation. -4.5 + 4.5 + -2x = -6 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -2x = -6 + 4.5 -2x = -6 + 4.5 Combine like terms: -6 + 4.5 = -1.5 -2x = -1.5 Divide each side by '-2'. x = 0.75 Simplifying x = 0.75
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