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Simplifying 4(x + 1) + -4 = 2(x + -5) + 1 Reorder the terms: 4(1 + x) + -4 = 2(x + -5) + 1 (1 * 4 + x * 4) + -4 = 2(x + -5) + 1 (4 + 4x) + -4 = 2(x + -5) + 1 Reorder the terms: 4 + -4 + 4x = 2(x + -5) + 1 Combine like terms: 4 + -4 = 0 0 + 4x = 2(x + -5) + 1 4x = 2(x + -5) + 1 Reorder the terms: 4x = 2(-5 + x) + 1 4x = (-5 * 2 + x * 2) + 1 4x = (-10 + 2x) + 1 Reorder the terms: 4x = -10 + 1 + 2x Combine like terms: -10 + 1 = -9 4x = -9 + 2x Solving 4x = -9 + 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. 4x + -2x = -9 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = -9 + 0 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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