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Simplifying -3(2x + 1) = 4(3x + -5) Reorder the terms: -3(1 + 2x) = 4(3x + -5) (1 * -3 + 2x * -3) = 4(3x + -5) (-3 + -6x) = 4(3x + -5) Reorder the terms: -3 + -6x = 4(-5 + 3x) -3 + -6x = (-5 * 4 + 3x * 4) -3 + -6x = (-20 + 12x) Solving -3 + -6x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + -6x + -12x = -20 + 12x + -12x Combine like terms: -6x + -12x = -18x -3 + -18x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -18x = -20 + 0 -3 + -18x = -20 Add '3' to each side of the equation. -3 + 3 + -18x = -20 + 3 Combine like terms: -3 + 3 = 0 0 + -18x = -20 + 3 -18x = -20 + 3 Combine like terms: -20 + 3 = -17 -18x = -17 Divide each side by '-18'. x = 0.9444444444 Simplifying x = 0.9444444444
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