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Simplifying -23x + 14 + -7x + 16 = 10x + -17 + 3x + 4 Reorder the terms: 14 + 16 + -23x + -7x = 10x + -17 + 3x + 4 Combine like terms: 14 + 16 = 30 30 + -23x + -7x = 10x + -17 + 3x + 4 Combine like terms: -23x + -7x = -30x 30 + -30x = 10x + -17 + 3x + 4 Reorder the terms: 30 + -30x = -17 + 4 + 10x + 3x Combine like terms: -17 + 4 = -13 30 + -30x = -13 + 10x + 3x Combine like terms: 10x + 3x = 13x 30 + -30x = -13 + 13x Solving 30 + -30x = -13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 30 + -30x + -13x = -13 + 13x + -13x Combine like terms: -30x + -13x = -43x 30 + -43x = -13 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + -43x = -13 + 0 30 + -43x = -13 Add '-30' to each side of the equation. 30 + -30 + -43x = -13 + -30 Combine like terms: 30 + -30 = 0 0 + -43x = -13 + -30 -43x = -13 + -30 Combine like terms: -13 + -30 = -43 -43x = -43 Divide each side by '-43'. x = 1 Simplifying x = 1
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