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Simplifying 3(x + 2) + -4x + -5 = 7(x + 1) + -6 Reorder the terms: 3(2 + x) + -4x + -5 = 7(x + 1) + -6 (2 * 3 + x * 3) + -4x + -5 = 7(x + 1) + -6 (6 + 3x) + -4x + -5 = 7(x + 1) + -6 Reorder the terms: 6 + -5 + 3x + -4x = 7(x + 1) + -6 Combine like terms: 6 + -5 = 1 1 + 3x + -4x = 7(x + 1) + -6 Combine like terms: 3x + -4x = -1x 1 + -1x = 7(x + 1) + -6 Reorder the terms: 1 + -1x = 7(1 + x) + -6 1 + -1x = (1 * 7 + x * 7) + -6 1 + -1x = (7 + 7x) + -6 Reorder the terms: 1 + -1x = 7 + -6 + 7x Combine like terms: 7 + -6 = 1 1 + -1x = 1 + 7x Add '-1' to each side of the equation. 1 + -1 + -1x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 0 + -1x = 1 + -1 + 7x -1x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 -1x = 0 + 7x -1x = 7x Solving -1x = 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. -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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