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Simplifying 3(x + 2) = 7(x + -2) + -4 Reorder the terms: 3(2 + x) = 7(x + -2) + -4 (2 * 3 + x * 3) = 7(x + -2) + -4 (6 + 3x) = 7(x + -2) + -4 Reorder the terms: 6 + 3x = 7(-2 + x) + -4 6 + 3x = (-2 * 7 + x * 7) + -4 6 + 3x = (-14 + 7x) + -4 Reorder the terms: 6 + 3x = -14 + -4 + 7x Combine like terms: -14 + -4 = -18 6 + 3x = -18 + 7x Solving 6 + 3x = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 3x + -7x = -18 + 7x + -7x Combine like terms: 3x + -7x = -4x 6 + -4x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -4x = -18 + 0 6 + -4x = -18 Add '-6' to each side of the equation. 6 + -6 + -4x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -18 + -6 -4x = -18 + -6 Combine like terms: -18 + -6 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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