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Simplifying -3(2 + x) + 7x = 6x + -5(1 + x) + 11 (2 * -3 + x * -3) + 7x = 6x + -5(1 + x) + 11 (-6 + -3x) + 7x = 6x + -5(1 + x) + 11 Combine like terms: -3x + 7x = 4x -6 + 4x = 6x + -5(1 + x) + 11 -6 + 4x = 6x + (1 * -5 + x * -5) + 11 -6 + 4x = 6x + (-5 + -5x) + 11 Reorder the terms: -6 + 4x = -5 + 11 + 6x + -5x Combine like terms: -5 + 11 = 6 -6 + 4x = 6 + 6x + -5x Combine like terms: 6x + -5x = 1x -6 + 4x = 6 + 1x Solving -6 + 4x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 4x + -1x = 6 + 1x + -1x Combine like terms: 4x + -1x = 3x -6 + 3x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 3x = 6 + 0 -6 + 3x = 6 Add '6' to each side of the equation. -6 + 6 + 3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 6 + 6 3x = 6 + 6 Combine like terms: 6 + 6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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