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Simplifying 1.5(x + 3) = 4x + 2.5(4x + -7) Reorder the terms: 1.5(3 + x) = 4x + 2.5(4x + -7) (3 * 1.5 + x * 1.5) = 4x + 2.5(4x + -7) (4.5 + 1.5x) = 4x + 2.5(4x + -7) Reorder the terms: 4.5 + 1.5x = 4x + 2.5(-7 + 4x) 4.5 + 1.5x = 4x + (-7 * 2.5 + 4x * 2.5) 4.5 + 1.5x = 4x + (-17.5 + 10x) Reorder the terms: 4.5 + 1.5x = -17.5 + 4x + 10x Combine like terms: 4x + 10x = 14x 4.5 + 1.5x = -17.5 + 14x Solving 4.5 + 1.5x = -17.5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 4.5 + 1.5x + -14x = -17.5 + 14x + -14x Combine like terms: 1.5x + -14x = -12.5x 4.5 + -12.5x = -17.5 + 14x + -14x Combine like terms: 14x + -14x = 0 4.5 + -12.5x = -17.5 + 0 4.5 + -12.5x = -17.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -12.5x = -17.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -12.5x = -17.5 + -4.5 -12.5x = -17.5 + -4.5 Combine like terms: -17.5 + -4.5 = -22 -12.5x = -22 Divide each side by '-12.5'. x = 1.76 Simplifying x = 1.76
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