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