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Simplifying 4(2 + -3x) + -3(5x + 6) = 8x + 5 (2 * 4 + -3x * 4) + -3(5x + 6) = 8x + 5 (8 + -12x) + -3(5x + 6) = 8x + 5 Reorder the terms: 8 + -12x + -3(6 + 5x) = 8x + 5 8 + -12x + (6 * -3 + 5x * -3) = 8x + 5 8 + -12x + (-18 + -15x) = 8x + 5 Reorder the terms: 8 + -18 + -12x + -15x = 8x + 5 Combine like terms: 8 + -18 = -10 -10 + -12x + -15x = 8x + 5 Combine like terms: -12x + -15x = -27x -10 + -27x = 8x + 5 Reorder the terms: -10 + -27x = 5 + 8x Solving -10 + -27x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + -27x + -8x = 5 + 8x + -8x Combine like terms: -27x + -8x = -35x -10 + -35x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -35x = 5 + 0 -10 + -35x = 5 Add '10' to each side of the equation. -10 + 10 + -35x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -35x = 5 + 10 -35x = 5 + 10 Combine like terms: 5 + 10 = 15 -35x = 15 Divide each side by '-35'. x = -0.4285714286 Simplifying x = -0.4285714286
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