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Simplifying -5(2 + -1x) + 1 = 4(3 + x) (2 * -5 + -1x * -5) + 1 = 4(3 + x) (-10 + 5x) + 1 = 4(3 + x) Reorder the terms: -10 + 1 + 5x = 4(3 + x) Combine like terms: -10 + 1 = -9 -9 + 5x = 4(3 + x) -9 + 5x = (3 * 4 + x * 4) -9 + 5x = (12 + 4x) Solving -9 + 5x = 12 + 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. -9 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -9 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 1x = 12 + 0 -9 + 1x = 12 Add '9' to each side of the equation. -9 + 9 + 1x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 12 + 9 1x = 12 + 9 Combine like terms: 12 + 9 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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