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Simplifying 4.5 + -1.5x = 11 + -1(2x + 8) Reorder the terms: 4.5 + -1.5x = 11 + -1(8 + 2x) 4.5 + -1.5x = 11 + (8 * -1 + 2x * -1) 4.5 + -1.5x = 11 + (-8 + -2x) Combine like terms: 11 + -8 = 3 4.5 + -1.5x = 3 + -2x Solving 4.5 + -1.5x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4.5 + -1.5x + 2x = 3 + -2x + 2x Combine like terms: -1.5x + 2x = 0.5x 4.5 + 0.5x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 4.5 + 0.5x = 3 + 0 4.5 + 0.5x = 3 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.5x = 3 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.5x = 3 + -4.5 0.5x = 3 + -4.5 Combine like terms: 3 + -4.5 = -1.5 0.5x = -1.5 Divide each side by '0.5'. x = -3 Simplifying x = -3
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