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Simplifying -3(x + 7) + 11 = 7(1 + -1x) + 3 Reorder the terms: -3(7 + x) + 11 = 7(1 + -1x) + 3 (7 * -3 + x * -3) + 11 = 7(1 + -1x) + 3 (-21 + -3x) + 11 = 7(1 + -1x) + 3 Reorder the terms: -21 + 11 + -3x = 7(1 + -1x) + 3 Combine like terms: -21 + 11 = -10 -10 + -3x = 7(1 + -1x) + 3 -10 + -3x = (1 * 7 + -1x * 7) + 3 -10 + -3x = (7 + -7x) + 3 Reorder the terms: -10 + -3x = 7 + 3 + -7x Combine like terms: 7 + 3 = 10 -10 + -3x = 10 + -7x Solving -10 + -3x = 10 + -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. -10 + -3x + 7x = 10 + -7x + 7x Combine like terms: -3x + 7x = 4x -10 + 4x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 4x = 10 + 0 -10 + 4x = 10 Add '10' to each side of the equation. -10 + 10 + 4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 10 + 10 4x = 10 + 10 Combine like terms: 10 + 10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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