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Simplifying 2(x + 3) + -7 = 5(5 + -1x) + (x + 1) Reorder the terms: 2(3 + x) + -7 = 5(5 + -1x) + (x + 1) (3 * 2 + x * 2) + -7 = 5(5 + -1x) + (x + 1) (6 + 2x) + -7 = 5(5 + -1x) + (x + 1) Reorder the terms: 6 + -7 + 2x = 5(5 + -1x) + (x + 1) Combine like terms: 6 + -7 = -1 -1 + 2x = 5(5 + -1x) + (x + 1) -1 + 2x = (5 * 5 + -1x * 5) + (x + 1) -1 + 2x = (25 + -5x) + (x + 1) Reorder the terms: -1 + 2x = 25 + -5x + (1 + x) Remove parenthesis around (1 + x) -1 + 2x = 25 + -5x + 1 + x Reorder the terms: -1 + 2x = 25 + 1 + -5x + x Combine like terms: 25 + 1 = 26 -1 + 2x = 26 + -5x + x Combine like terms: -5x + x = -4x -1 + 2x = 26 + -4x Solving -1 + 2x = 26 + -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. -1 + 2x + 4x = 26 + -4x + 4x Combine like terms: 2x + 4x = 6x -1 + 6x = 26 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 6x = 26 + 0 -1 + 6x = 26 Add '1' to each side of the equation. -1 + 1 + 6x = 26 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 26 + 1 6x = 26 + 1 Combine like terms: 26 + 1 = 27 6x = 27 Divide each side by '6'. x = 4.5 Simplifying x = 4.5
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