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Simplifying (5x + -15) + (3x + -1) = (5x + -15) + (4x + 34) Reorder the terms: (-15 + 5x) + (3x + -1) = (5x + -15) + (4x + 34) Remove parenthesis around (-15 + 5x) -15 + 5x + (3x + -1) = (5x + -15) + (4x + 34) Reorder the terms: -15 + 5x + (-1 + 3x) = (5x + -15) + (4x + 34) Remove parenthesis around (-1 + 3x) -15 + 5x + -1 + 3x = (5x + -15) + (4x + 34) Reorder the terms: -15 + -1 + 5x + 3x = (5x + -15) + (4x + 34) Combine like terms: -15 + -1 = -16 -16 + 5x + 3x = (5x + -15) + (4x + 34) Combine like terms: 5x + 3x = 8x -16 + 8x = (5x + -15) + (4x + 34) Reorder the terms: -16 + 8x = (-15 + 5x) + (4x + 34) Remove parenthesis around (-15 + 5x) -16 + 8x = -15 + 5x + (4x + 34) Reorder the terms: -16 + 8x = -15 + 5x + (34 + 4x) Remove parenthesis around (34 + 4x) -16 + 8x = -15 + 5x + 34 + 4x Reorder the terms: -16 + 8x = -15 + 34 + 5x + 4x Combine like terms: -15 + 34 = 19 -16 + 8x = 19 + 5x + 4x Combine like terms: 5x + 4x = 9x -16 + 8x = 19 + 9x Solving -16 + 8x = 19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 8x + -9x = 19 + 9x + -9x Combine like terms: 8x + -9x = -1x -16 + -1x = 19 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -1x = 19 + 0 -16 + -1x = 19 Add '16' to each side of the equation. -16 + 16 + -1x = 19 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 19 + 16 -1x = 19 + 16 Combine like terms: 19 + 16 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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