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Simplifying 5x + 7(x + 1) + 3 = 10 + -6x Reorder the terms: 5x + 7(1 + x) + 3 = 10 + -6x 5x + (1 * 7 + x * 7) + 3 = 10 + -6x 5x + (7 + 7x) + 3 = 10 + -6x Reorder the terms: 7 + 3 + 5x + 7x = 10 + -6x Combine like terms: 7 + 3 = 10 10 + 5x + 7x = 10 + -6x Combine like terms: 5x + 7x = 12x 10 + 12x = 10 + -6x Add '-10' to each side of the equation. 10 + -10 + 12x = 10 + -10 + -6x Combine like terms: 10 + -10 = 0 0 + 12x = 10 + -10 + -6x 12x = 10 + -10 + -6x Combine like terms: 10 + -10 = 0 12x = 0 + -6x 12x = -6x Solving 12x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12x + 6x = -6x + 6x Combine like terms: 12x + 6x = 18x 18x = -6x + 6x Combine like terms: -6x + 6x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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