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Simplifying 3(x + -1.5) + 2(2X + 3) = 5 Reorder the terms: 3(-1.5 + x) + 2(2X + 3) = 5 (-1.5 * 3 + x * 3) + 2(2X + 3) = 5 (-4.5 + 3x) + 2(2X + 3) = 5 Reorder the terms: -4.5 + 3x + 2(3 + 2X) = 5 -4.5 + 3x + (3 * 2 + 2X * 2) = 5 -4.5 + 3x + (6 + 4X) = 5 Reorder the terms: -4.5 + 6 + 4X + 3x = 5 Combine like terms: -4.5 + 6 = 1.5 1.5 + 4X + 3x = 5 Solving 1.5 + 4X + 3x = 5 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + 4X + -1.5 + 3x = 5 + -1.5 Reorder the terms: 1.5 + -1.5 + 4X + 3x = 5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 4X + 3x = 5 + -1.5 4X + 3x = 5 + -1.5 Combine like terms: 5 + -1.5 = 3.5 4X + 3x = 3.5 Add '-3x' to each side of the equation. 4X + 3x + -3x = 3.5 + -3x Combine like terms: 3x + -3x = 0 4X + 0 = 3.5 + -3x 4X = 3.5 + -3x Divide each side by '4'. X = 0.875 + -0.75x Simplifying X = 0.875 + -0.75x
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