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Simplifying 4x + 1 = 5 + 2(x + -4) Reorder the terms: 1 + 4x = 5 + 2(x + -4) Reorder the terms: 1 + 4x = 5 + 2(-4 + x) 1 + 4x = 5 + (-4 * 2 + x * 2) 1 + 4x = 5 + (-8 + 2x) Combine like terms: 5 + -8 = -3 1 + 4x = -3 + 2x Solving 1 + 4x = -3 + 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 = -3 + 2x + -2x Combine like terms: 4x + -2x = 2x 1 + 2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 2x = -3 + 0 1 + 2x = -3 Add '-1' to each side of the equation. 1 + -1 + 2x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -3 + -1 2x = -3 + -1 Combine like terms: -3 + -1 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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