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Simplifying 3(4x + -5) = -7(-2x + 3) Reorder the terms: 3(-5 + 4x) = -7(-2x + 3) (-5 * 3 + 4x * 3) = -7(-2x + 3) (-15 + 12x) = -7(-2x + 3) Reorder the terms: -15 + 12x = -7(3 + -2x) -15 + 12x = (3 * -7 + -2x * -7) -15 + 12x = (-21 + 14x) Solving -15 + 12x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -15 + 12x + -14x = -21 + 14x + -14x Combine like terms: 12x + -14x = -2x -15 + -2x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -15 + -2x = -21 + 0 -15 + -2x = -21 Add '15' to each side of the equation. -15 + 15 + -2x = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -21 + 15 -2x = -21 + 15 Combine like terms: -21 + 15 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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