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Simplifying 23 = -7(x + 5) + 3x + -6 Reorder the terms: 23 = -7(5 + x) + 3x + -6 23 = (5 * -7 + x * -7) + 3x + -6 23 = (-35 + -7x) + 3x + -6 Reorder the terms: 23 = -35 + -6 + -7x + 3x Combine like terms: -35 + -6 = -41 23 = -41 + -7x + 3x Combine like terms: -7x + 3x = -4x 23 = -41 + -4x Solving 23 = -41 + -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. 23 + 4x = -41 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + 4x = -41 + 0 23 + 4x = -41 Add '-23' to each side of the equation. 23 + -23 + 4x = -41 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = -41 + -23 4x = -41 + -23 Combine like terms: -41 + -23 = -64 4x = -64 Divide each side by '4'. x = -16 Simplifying x = -16
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