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Simplifying 4(x + -2) + 2 = 5x + 1 Reorder the terms: 4(-2 + x) + 2 = 5x + 1 (-2 * 4 + x * 4) + 2 = 5x + 1 (-8 + 4x) + 2 = 5x + 1 Reorder the terms: -8 + 2 + 4x = 5x + 1 Combine like terms: -8 + 2 = -6 -6 + 4x = 5x + 1 Reorder the terms: -6 + 4x = 1 + 5x Solving -6 + 4x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 4x + -5x = 1 + 5x + -5x Combine like terms: 4x + -5x = -1x -6 + -1x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -1x = 1 + 0 -6 + -1x = 1 Add '6' to each side of the equation. -6 + 6 + -1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 1 + 6 -1x = 1 + 6 Combine like terms: 1 + 6 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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