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Simplifying 4 + -6(x + -2) = -2(2x + 7) Reorder the terms: 4 + -6(-2 + x) = -2(2x + 7) 4 + (-2 * -6 + x * -6) = -2(2x + 7) 4 + (12 + -6x) = -2(2x + 7) Combine like terms: 4 + 12 = 16 16 + -6x = -2(2x + 7) Reorder the terms: 16 + -6x = -2(7 + 2x) 16 + -6x = (7 * -2 + 2x * -2) 16 + -6x = (-14 + -4x) Solving 16 + -6x = -14 + -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. 16 + -6x + 4x = -14 + -4x + 4x Combine like terms: -6x + 4x = -2x 16 + -2x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + -2x = -14 + 0 16 + -2x = -14 Add '-16' to each side of the equation. 16 + -16 + -2x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = -14 + -16 -2x = -14 + -16 Combine like terms: -14 + -16 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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