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Simplifying 1.5(2x + -3) = 4x Reorder the terms: 1.5(-3 + 2x) = 4x (-3 * 1.5 + 2x * 1.5) = 4x (-4.5 + 3x) = 4x Solving -4.5 + 3x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4.5 + 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -4.5 + -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -4.5 + -1x = 0 Add '4.5' to each side of the equation. -4.5 + 4.5 + -1x = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -1x = 0 + 4.5 -1x = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 -1x = 4.5 Divide each side by '-1'. x = -4.5 Simplifying x = -4.5
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