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Simplifying 4(x + 1) + -5 = 2x + -6 Reorder the terms: 4(1 + x) + -5 = 2x + -6 (1 * 4 + x * 4) + -5 = 2x + -6 (4 + 4x) + -5 = 2x + -6 Reorder the terms: 4 + -5 + 4x = 2x + -6 Combine like terms: 4 + -5 = -1 -1 + 4x = 2x + -6 Reorder the terms: -1 + 4x = -6 + 2x Solving -1 + 4x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 4x + -2x = -6 + 2x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 2x = -6 + 0 -1 + 2x = -6 Add '1' to each side of the equation. -1 + 1 + 2x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -6 + 1 2x = -6 + 1 Combine like terms: -6 + 1 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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