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Simplifying 8 + 4(3x + -5) = 5 + -3(2x + 1) Reorder the terms: 8 + 4(-5 + 3x) = 5 + -3(2x + 1) 8 + (-5 * 4 + 3x * 4) = 5 + -3(2x + 1) 8 + (-20 + 12x) = 5 + -3(2x + 1) Combine like terms: 8 + -20 = -12 -12 + 12x = 5 + -3(2x + 1) Reorder the terms: -12 + 12x = 5 + -3(1 + 2x) -12 + 12x = 5 + (1 * -3 + 2x * -3) -12 + 12x = 5 + (-3 + -6x) Combine like terms: 5 + -3 = 2 -12 + 12x = 2 + -6x Solving -12 + 12x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 12x + 6x = 2 + -6x + 6x Combine like terms: 12x + 6x = 18x -12 + 18x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 18x = 2 + 0 -12 + 18x = 2 Add '12' to each side of the equation. -12 + 12 + 18x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 2 + 12 18x = 2 + 12 Combine like terms: 2 + 12 = 14 18x = 14 Divide each side by '18'. x = 0.7777777778 Simplifying x = 0.7777777778
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