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Simplifying 4 + -6(x + -2) = -1(2x + 7) Reorder the terms: 4 + -6(-2 + x) = -1(2x + 7) 4 + (-2 * -6 + x * -6) = -1(2x + 7) 4 + (12 + -6x) = -1(2x + 7) Combine like terms: 4 + 12 = 16 16 + -6x = -1(2x + 7) Reorder the terms: 16 + -6x = -1(7 + 2x) 16 + -6x = (7 * -1 + 2x * -1) 16 + -6x = (-7 + -2x) Solving 16 + -6x = -7 + -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. 16 + -6x + 2x = -7 + -2x + 2x Combine like terms: -6x + 2x = -4x 16 + -4x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + -4x = -7 + 0 16 + -4x = -7 Add '-16' to each side of the equation. 16 + -16 + -4x = -7 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -7 + -16 -4x = -7 + -16 Combine like terms: -7 + -16 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75
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