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Simplifying 7x + 4 + -3x = 2(x + -6) Reorder the terms: 4 + 7x + -3x = 2(x + -6) Combine like terms: 7x + -3x = 4x 4 + 4x = 2(x + -6) Reorder the terms: 4 + 4x = 2(-6 + x) 4 + 4x = (-6 * 2 + x * 2) 4 + 4x = (-12 + 2x) Solving 4 + 4x = -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. 4 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = -12 + 0 4 + 2x = -12 Add '-4' to each side of the equation. 4 + -4 + 2x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -12 + -4 2x = -12 + -4 Combine like terms: -12 + -4 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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