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Simplifying 5x + -35 = 23x + -5(3x + -1) + -21 Reorder the terms: -35 + 5x = 23x + -5(3x + -1) + -21 Reorder the terms: -35 + 5x = 23x + -5(-1 + 3x) + -21 -35 + 5x = 23x + (-1 * -5 + 3x * -5) + -21 -35 + 5x = 23x + (5 + -15x) + -21 Reorder the terms: -35 + 5x = 5 + -21 + 23x + -15x Combine like terms: 5 + -21 = -16 -35 + 5x = -16 + 23x + -15x Combine like terms: 23x + -15x = 8x -35 + 5x = -16 + 8x Solving -35 + 5x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -35 + 5x + -8x = -16 + 8x + -8x Combine like terms: 5x + -8x = -3x -35 + -3x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -3x = -16 + 0 -35 + -3x = -16 Add '35' to each side of the equation. -35 + 35 + -3x = -16 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = -16 + 35 -3x = -16 + 35 Combine like terms: -16 + 35 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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