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Simplifying 3(7 + -4x) = 2x + -5(x + 3) (7 * 3 + -4x * 3) = 2x + -5(x + 3) (21 + -12x) = 2x + -5(x + 3) Reorder the terms: 21 + -12x = 2x + -5(3 + x) 21 + -12x = 2x + (3 * -5 + x * -5) 21 + -12x = 2x + (-15 + -5x) Reorder the terms: 21 + -12x = -15 + 2x + -5x Combine like terms: 2x + -5x = -3x 21 + -12x = -15 + -3x Solving 21 + -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. 21 + -12x + 3x = -15 + -3x + 3x Combine like terms: -12x + 3x = -9x 21 + -9x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + -9x = -15 + 0 21 + -9x = -15 Add '-21' to each side of the equation. 21 + -21 + -9x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -9x = -15 + -21 -9x = -15 + -21 Combine like terms: -15 + -21 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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