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Simplifying 4.5(2 + -3x) + 0.8x = 2.3(x + 30) (2 * 4.5 + -3x * 4.5) + 0.8x = 2.3(x + 30) (9 + -13.5x) + 0.8x = 2.3(x + 30) Combine like terms: -13.5x + 0.8x = -12.7x 9 + -12.7x = 2.3(x + 30) Reorder the terms: 9 + -12.7x = 2.3(30 + x) 9 + -12.7x = (30 * 2.3 + x * 2.3) 9 + -12.7x = (69 + 2.3x) Solving 9 + -12.7x = 69 + 2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.3x' to each side of the equation. 9 + -12.7x + -2.3x = 69 + 2.3x + -2.3x Combine like terms: -12.7x + -2.3x = -15x 9 + -15x = 69 + 2.3x + -2.3x Combine like terms: 2.3x + -2.3x = 0.0 9 + -15x = 69 + 0.0 9 + -15x = 69 Add '-9' to each side of the equation. 9 + -9 + -15x = 69 + -9 Combine like terms: 9 + -9 = 0 0 + -15x = 69 + -9 -15x = 69 + -9 Combine like terms: 69 + -9 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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