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