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