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Simplifying -1.5(x + 1) = 6x + -9 Reorder the terms: -1.5(1 + x) = 6x + -9 (1 * -1.5 + x * -1.5) = 6x + -9 (-1.5 + -1.5x) = 6x + -9 Reorder the terms: -1.5 + -1.5x = -9 + 6x Solving -1.5 + -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. -1.5 + -1.5x + -6x = -9 + 6x + -6x Combine like terms: -1.5x + -6x = -7.5x -1.5 + -7.5x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -1.5 + -7.5x = -9 + 0 -1.5 + -7.5x = -9 Add '1.5' to each side of the equation. -1.5 + 1.5 + -7.5x = -9 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -7.5x = -9 + 1.5 -7.5x = -9 + 1.5 Combine like terms: -9 + 1.5 = -7.5 -7.5x = -7.5 Divide each side by '-7.5'. x = 1 Simplifying x = 1
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