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Simplifying 3(5x + -4) = 4(3x + -2) Reorder the terms: 3(-4 + 5x) = 4(3x + -2) (-4 * 3 + 5x * 3) = 4(3x + -2) (-12 + 15x) = 4(3x + -2) Reorder the terms: -12 + 15x = 4(-2 + 3x) -12 + 15x = (-2 * 4 + 3x * 4) -12 + 15x = (-8 + 12x) Solving -12 + 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. -12 + 15x + -12x = -8 + 12x + -12x Combine like terms: 15x + -12x = 3x -12 + 3x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 3x = -8 + 0 -12 + 3x = -8 Add '12' to each side of the equation. -12 + 12 + 3x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -8 + 12 3x = -8 + 12 Combine like terms: -8 + 12 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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