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Simplifying 2(x + -4) + 1 = 4x + 2 Reorder the terms: 2(-4 + x) + 1 = 4x + 2 (-4 * 2 + x * 2) + 1 = 4x + 2 (-8 + 2x) + 1 = 4x + 2 Reorder the terms: -8 + 1 + 2x = 4x + 2 Combine like terms: -8 + 1 = -7 -7 + 2x = 4x + 2 Reorder the terms: -7 + 2x = 2 + 4x Solving -7 + 2x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 2x + -4x = 2 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = 2 + 0 -7 + -2x = 2 Add '7' to each side of the equation. -7 + 7 + -2x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 2 + 7 -2x = 2 + 7 Combine like terms: 2 + 7 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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