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Simplifying 1 + -1.5x = -4.5(5 + x) 1 + -1.5x = (5 * -4.5 + x * -4.5) 1 + -1.5x = (-22.5 + -4.5x) Solving 1 + -1.5x = -22.5 + -4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5x' to each side of the equation. 1 + -1.5x + 4.5x = -22.5 + -4.5x + 4.5x Combine like terms: -1.5x + 4.5x = 3x 1 + 3x = -22.5 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 1 + 3x = -22.5 + 0.0 1 + 3x = -22.5 Add '-1' to each side of the equation. 1 + -1 + 3x = -22.5 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -22.5 + -1 3x = -22.5 + -1 Combine like terms: -22.5 + -1 = -23.5 3x = -23.5 Divide each side by '3'. x = -7.833333333 Simplifying x = -7.833333333
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