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Simplifying 4x + -2(3x + -5) + 11 = 6x + -1(2x + 7) Reorder the terms: 4x + -2(-5 + 3x) + 11 = 6x + -1(2x + 7) 4x + (-5 * -2 + 3x * -2) + 11 = 6x + -1(2x + 7) 4x + (10 + -6x) + 11 = 6x + -1(2x + 7) Reorder the terms: 10 + 11 + 4x + -6x = 6x + -1(2x + 7) Combine like terms: 10 + 11 = 21 21 + 4x + -6x = 6x + -1(2x + 7) Combine like terms: 4x + -6x = -2x 21 + -2x = 6x + -1(2x + 7) Reorder the terms: 21 + -2x = 6x + -1(7 + 2x) 21 + -2x = 6x + (7 * -1 + 2x * -1) 21 + -2x = 6x + (-7 + -2x) Reorder the terms: 21 + -2x = -7 + 6x + -2x Combine like terms: 6x + -2x = 4x 21 + -2x = -7 + 4x Solving 21 + -2x = -7 + 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. 21 + -2x + -4x = -7 + 4x + -4x Combine like terms: -2x + -4x = -6x 21 + -6x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -6x = -7 + 0 21 + -6x = -7 Add '-21' to each side of the equation. 21 + -21 + -6x = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = -7 + -21 -6x = -7 + -21 Combine like terms: -7 + -21 = -28 -6x = -28 Divide each side by '-6'. x = 4.666666667 Simplifying x = 4.666666667
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