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Simplifying 3(4x + -7) = 5(2x + -3) Reorder the terms: 3(-7 + 4x) = 5(2x + -3) (-7 * 3 + 4x * 3) = 5(2x + -3) (-21 + 12x) = 5(2x + -3) Reorder the terms: -21 + 12x = 5(-3 + 2x) -21 + 12x = (-3 * 5 + 2x * 5) -21 + 12x = (-15 + 10x) Solving -21 + 12x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 12x + -10x = -15 + 10x + -10x Combine like terms: 12x + -10x = 2x -21 + 2x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 2x = -15 + 0 -21 + 2x = -15 Add '21' to each side of the equation. -21 + 21 + 2x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -15 + 21 2x = -15 + 21 Combine like terms: -15 + 21 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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