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Simplifying -3(5x + -8) + -8 + 4(-3x + 9) = -28 + 34 Reorder the terms: -3(-8 + 5x) + -8 + 4(-3x + 9) = -28 + 34 (-8 * -3 + 5x * -3) + -8 + 4(-3x + 9) = -28 + 34 (24 + -15x) + -8 + 4(-3x + 9) = -28 + 34 Reorder the terms: 24 + -15x + -8 + 4(9 + -3x) = -28 + 34 24 + -15x + -8 + (9 * 4 + -3x * 4) = -28 + 34 24 + -15x + -8 + (36 + -12x) = -28 + 34 Reorder the terms: 24 + -8 + 36 + -15x + -12x = -28 + 34 Combine like terms: 24 + -8 = 16 16 + 36 + -15x + -12x = -28 + 34 Combine like terms: 16 + 36 = 52 52 + -15x + -12x = -28 + 34 Combine like terms: -15x + -12x = -27x 52 + -27x = -28 + 34 Combine like terms: -28 + 34 = 6 52 + -27x = 6 Solving 52 + -27x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -27x = 6 + -52 Combine like terms: 52 + -52 = 0 0 + -27x = 6 + -52 -27x = 6 + -52 Combine like terms: 6 + -52 = -46 -27x = -46 Divide each side by '-27'. x = 1.703703704 Simplifying x = 1.703703704
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