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Simplifying -2x + 3(x + -2) = 5x + 1 Reorder the terms: -2x + 3(-2 + x) = 5x + 1 -2x + (-2 * 3 + x * 3) = 5x + 1 -2x + (-6 + 3x) = 5x + 1 Reorder the terms: -6 + -2x + 3x = 5x + 1 Combine like terms: -2x + 3x = 1x -6 + 1x = 5x + 1 Reorder the terms: -6 + 1x = 1 + 5x Solving -6 + 1x = 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 + 1x + -5x = 1 + 5x + -5x Combine like terms: 1x + -5x = -4x -6 + -4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4x = 1 + 0 -6 + -4x = 1 Add '6' to each side of the equation. -6 + 6 + -4x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 1 + 6 -4x = 1 + 6 Combine like terms: 1 + 6 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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