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