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Simplifying 5(3x + -2) = 3(4x + -1) Reorder the terms: 5(-2 + 3x) = 3(4x + -1) (-2 * 5 + 3x * 5) = 3(4x + -1) (-10 + 15x) = 3(4x + -1) Reorder the terms: -10 + 15x = 3(-1 + 4x) -10 + 15x = (-1 * 3 + 4x * 3) -10 + 15x = (-3 + 12x) Solving -10 + 15x = -3 + 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. -10 + 15x + -12x = -3 + 12x + -12x Combine like terms: 15x + -12x = 3x -10 + 3x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 3x = -3 + 0 -10 + 3x = -3 Add '10' to each side of the equation. -10 + 10 + 3x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -3 + 10 3x = -3 + 10 Combine like terms: -3 + 10 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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