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Simplifying 8 + 3(4x + -5) = 6 + -4(2x + 1) Reorder the terms: 8 + 3(-5 + 4x) = 6 + -4(2x + 1) 8 + (-5 * 3 + 4x * 3) = 6 + -4(2x + 1) 8 + (-15 + 12x) = 6 + -4(2x + 1) Combine like terms: 8 + -15 = -7 -7 + 12x = 6 + -4(2x + 1) Reorder the terms: -7 + 12x = 6 + -4(1 + 2x) -7 + 12x = 6 + (1 * -4 + 2x * -4) -7 + 12x = 6 + (-4 + -8x) Combine like terms: 6 + -4 = 2 -7 + 12x = 2 + -8x Solving -7 + 12x = 2 + -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. -7 + 12x + 8x = 2 + -8x + 8x Combine like terms: 12x + 8x = 20x -7 + 20x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + 20x = 2 + 0 -7 + 20x = 2 Add '7' to each side of the equation. -7 + 7 + 20x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 20x = 2 + 7 20x = 2 + 7 Combine like terms: 2 + 7 = 9 20x = 9 Divide each side by '20'. x = 0.45 Simplifying x = 0.45
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