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Simplifying 8 + -7x + -3 = -35 + 3x + -10 Reorder the terms: 8 + -3 + -7x = -35 + 3x + -10 Combine like terms: 8 + -3 = 5 5 + -7x = -35 + 3x + -10 Reorder the terms: 5 + -7x = -35 + -10 + 3x Combine like terms: -35 + -10 = -45 5 + -7x = -45 + 3x Solving 5 + -7x = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -7x + -3x = -45 + 3x + -3x Combine like terms: -7x + -3x = -10x 5 + -10x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -10x = -45 + 0 5 + -10x = -45 Add '-5' to each side of the equation. 5 + -5 + -10x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -45 + -5 -10x = -45 + -5 Combine like terms: -45 + -5 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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