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Simplifying 1 + -5(1.5 + x) = 6 + -7.5x 1 + (1.5 * -5 + x * -5) = 6 + -7.5x 1 + (-7.5 + -5x) = 6 + -7.5x Combine like terms: 1 + -7.5 = -6.5 -6.5 + -5x = 6 + -7.5x Solving -6.5 + -5x = 6 + -7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5x' to each side of the equation. -6.5 + -5x + 7.5x = 6 + -7.5x + 7.5x Combine like terms: -5x + 7.5x = 2.5x -6.5 + 2.5x = 6 + -7.5x + 7.5x Combine like terms: -7.5x + 7.5x = 0.0 -6.5 + 2.5x = 6 + 0.0 -6.5 + 2.5x = 6 Add '6.5' to each side of the equation. -6.5 + 6.5 + 2.5x = 6 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 2.5x = 6 + 6.5 2.5x = 6 + 6.5 Combine like terms: 6 + 6.5 = 12.5 2.5x = 12.5 Divide each side by '2.5'. x = 5 Simplifying x = 5
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