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