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Simplifying 5x + (2x + -7) + 12 = 4x + -10 Reorder the terms: 5x + (-7 + 2x) + 12 = 4x + -10 Remove parenthesis around (-7 + 2x) 5x + -7 + 2x + 12 = 4x + -10 Reorder the terms: -7 + 12 + 5x + 2x = 4x + -10 Combine like terms: -7 + 12 = 5 5 + 5x + 2x = 4x + -10 Combine like terms: 5x + 2x = 7x 5 + 7x = 4x + -10 Reorder the terms: 5 + 7x = -10 + 4x Solving 5 + 7x = -10 + 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. 5 + 7x + -4x = -10 + 4x + -4x Combine like terms: 7x + -4x = 3x 5 + 3x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 3x = -10 + 0 5 + 3x = -10 Add '-5' to each side of the equation. 5 + -5 + 3x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -10 + -5 3x = -10 + -5 Combine like terms: -10 + -5 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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