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Simplifying 7(x + 1) + 5 = 3(x + -1) + 19 Reorder the terms: 7(1 + x) + 5 = 3(x + -1) + 19 (1 * 7 + x * 7) + 5 = 3(x + -1) + 19 (7 + 7x) + 5 = 3(x + -1) + 19 Reorder the terms: 7 + 5 + 7x = 3(x + -1) + 19 Combine like terms: 7 + 5 = 12 12 + 7x = 3(x + -1) + 19 Reorder the terms: 12 + 7x = 3(-1 + x) + 19 12 + 7x = (-1 * 3 + x * 3) + 19 12 + 7x = (-3 + 3x) + 19 Reorder the terms: 12 + 7x = -3 + 19 + 3x Combine like terms: -3 + 19 = 16 12 + 7x = 16 + 3x Solving 12 + 7x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 7x + -3x = 16 + 3x + -3x Combine like terms: 7x + -3x = 4x 12 + 4x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 4x = 16 + 0 12 + 4x = 16 Add '-12' to each side of the equation. 12 + -12 + 4x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 16 + -12 4x = 16 + -12 Combine like terms: 16 + -12 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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