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Simplifying 2x + 23 + -4x + 17 = 16x + -13 + 5 + -12x Reorder the terms: 23 + 17 + 2x + -4x = 16x + -13 + 5 + -12x Combine like terms: 23 + 17 = 40 40 + 2x + -4x = 16x + -13 + 5 + -12x Combine like terms: 2x + -4x = -2x 40 + -2x = 16x + -13 + 5 + -12x Reorder the terms: 40 + -2x = -13 + 5 + 16x + -12x Combine like terms: -13 + 5 = -8 40 + -2x = -8 + 16x + -12x Combine like terms: 16x + -12x = 4x 40 + -2x = -8 + 4x Solving 40 + -2x = -8 + 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. 40 + -2x + -4x = -8 + 4x + -4x Combine like terms: -2x + -4x = -6x 40 + -6x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + -6x = -8 + 0 40 + -6x = -8 Add '-40' to each side of the equation. 40 + -40 + -6x = -8 + -40 Combine like terms: 40 + -40 = 0 0 + -6x = -8 + -40 -6x = -8 + -40 Combine like terms: -8 + -40 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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