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Simplifying 4(3x + -4) = 3(2x + -7) Reorder the terms: 4(-4 + 3x) = 3(2x + -7) (-4 * 4 + 3x * 4) = 3(2x + -7) (-16 + 12x) = 3(2x + -7) Reorder the terms: -16 + 12x = 3(-7 + 2x) -16 + 12x = (-7 * 3 + 2x * 3) -16 + 12x = (-21 + 6x) Solving -16 + 12x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 12x + -6x = -21 + 6x + -6x Combine like terms: 12x + -6x = 6x -16 + 6x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 6x = -21 + 0 -16 + 6x = -21 Add '16' to each side of the equation. -16 + 16 + 6x = -21 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = -21 + 16 6x = -21 + 16 Combine like terms: -21 + 16 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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