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Simplifying 4x + 5 = 2(x + -5) + 1 Reorder the terms: 5 + 4x = 2(x + -5) + 1 Reorder the terms: 5 + 4x = 2(-5 + x) + 1 5 + 4x = (-5 * 2 + x * 2) + 1 5 + 4x = (-10 + 2x) + 1 Reorder the terms: 5 + 4x = -10 + 1 + 2x Combine like terms: -10 + 1 = -9 5 + 4x = -9 + 2x Solving 5 + 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. 5 + 4x + -2x = -9 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = -9 + 0 5 + 2x = -9 Add '-5' to each side of the equation. 5 + -5 + 2x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -9 + -5 2x = -9 + -5 Combine like terms: -9 + -5 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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