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Simplifying 4(3x + -2) = -3(x + -5) Reorder the terms: 4(-2 + 3x) = -3(x + -5) (-2 * 4 + 3x * 4) = -3(x + -5) (-8 + 12x) = -3(x + -5) Reorder the terms: -8 + 12x = -3(-5 + x) -8 + 12x = (-5 * -3 + x * -3) -8 + 12x = (15 + -3x) Solving -8 + 12x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 12x + 3x = 15 + -3x + 3x Combine like terms: 12x + 3x = 15x -8 + 15x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 15x = 15 + 0 -8 + 15x = 15 Add '8' to each side of the equation. -8 + 8 + 15x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 15 + 8 15x = 15 + 8 Combine like terms: 15 + 8 = 23 15x = 23 Divide each side by '15'. x = 1.533333333 Simplifying x = 1.533333333
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