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