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Simplifying 2 + -1.5(x + 1) = 6x + -9 Reorder the terms: 2 + -1.5(1 + x) = 6x + -9 2 + (1 * -1.5 + x * -1.5) = 6x + -9 2 + (-1.5 + -1.5x) = 6x + -9 Combine like terms: 2 + -1.5 = 0.5 0.5 + -1.5x = 6x + -9 Reorder the terms: 0.5 + -1.5x = -9 + 6x Solving 0.5 + -1.5x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.5 + -1.5x + -6x = -9 + 6x + -6x Combine like terms: -1.5x + -6x = -7.5x 0.5 + -7.5x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 0.5 + -7.5x = -9 + 0 0.5 + -7.5x = -9 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -7.5x = -9 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -7.5x = -9 + -0.5 -7.5x = -9 + -0.5 Combine like terms: -9 + -0.5 = -9.5 -7.5x = -9.5 Divide each side by '-7.5'. x = 1.266666667 Simplifying x = 1.266666667
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