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Simplifying 4(x + -2) + -2(3 + -2x) = 5x + 1 Reorder the terms: 4(-2 + x) + -2(3 + -2x) = 5x + 1 (-2 * 4 + x * 4) + -2(3 + -2x) = 5x + 1 (-8 + 4x) + -2(3 + -2x) = 5x + 1 -8 + 4x + (3 * -2 + -2x * -2) = 5x + 1 -8 + 4x + (-6 + 4x) = 5x + 1 Reorder the terms: -8 + -6 + 4x + 4x = 5x + 1 Combine like terms: -8 + -6 = -14 -14 + 4x + 4x = 5x + 1 Combine like terms: 4x + 4x = 8x -14 + 8x = 5x + 1 Reorder the terms: -14 + 8x = 1 + 5x Solving -14 + 8x = 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. -14 + 8x + -5x = 1 + 5x + -5x Combine like terms: 8x + -5x = 3x -14 + 3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 3x = 1 + 0 -14 + 3x = 1 Add '14' to each side of the equation. -14 + 14 + 3x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 1 + 14 3x = 1 + 14 Combine like terms: 1 + 14 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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