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Simplifying -18x + -5 + x + 4 + 38x + -1x + -5 = 3x + -18 + -5x + 30 + 9x + -5 Reorder the terms: -5 + 4 + -5 + -18x + x + 38x + -1x = 3x + -18 + -5x + 30 + 9x + -5 Combine like terms: -5 + 4 = -1 -1 + -5 + -18x + x + 38x + -1x = 3x + -18 + -5x + 30 + 9x + -5 Combine like terms: -1 + -5 = -6 -6 + -18x + x + 38x + -1x = 3x + -18 + -5x + 30 + 9x + -5 Combine like terms: -18x + x = -17x -6 + -17x + 38x + -1x = 3x + -18 + -5x + 30 + 9x + -5 Combine like terms: -17x + 38x = 21x -6 + 21x + -1x = 3x + -18 + -5x + 30 + 9x + -5 Combine like terms: 21x + -1x = 20x -6 + 20x = 3x + -18 + -5x + 30 + 9x + -5 Reorder the terms: -6 + 20x = -18 + 30 + -5 + 3x + -5x + 9x Combine like terms: -18 + 30 = 12 -6 + 20x = 12 + -5 + 3x + -5x + 9x Combine like terms: 12 + -5 = 7 -6 + 20x = 7 + 3x + -5x + 9x Combine like terms: 3x + -5x = -2x -6 + 20x = 7 + -2x + 9x Combine like terms: -2x + 9x = 7x -6 + 20x = 7 + 7x Solving -6 + 20x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 20x + -7x = 7 + 7x + -7x Combine like terms: 20x + -7x = 13x -6 + 13x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 13x = 7 + 0 -6 + 13x = 7 Add '6' to each side of the equation. -6 + 6 + 13x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 7 + 6 13x = 7 + 6 Combine like terms: 7 + 6 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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