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Simplifying 3x + 6(x + 1) + 4 = 10 + -7x Reorder the terms: 3x + 6(1 + x) + 4 = 10 + -7x 3x + (1 * 6 + x * 6) + 4 = 10 + -7x 3x + (6 + 6x) + 4 = 10 + -7x Reorder the terms: 6 + 4 + 3x + 6x = 10 + -7x Combine like terms: 6 + 4 = 10 10 + 3x + 6x = 10 + -7x Combine like terms: 3x + 6x = 9x 10 + 9x = 10 + -7x Add '-10' to each side of the equation. 10 + -10 + 9x = 10 + -10 + -7x Combine like terms: 10 + -10 = 0 0 + 9x = 10 + -10 + -7x 9x = 10 + -10 + -7x Combine like terms: 10 + -10 = 0 9x = 0 + -7x 9x = -7x Solving 9x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9x + 7x = -7x + 7x Combine like terms: 9x + 7x = 16x 16x = -7x + 7x Combine like terms: -7x + 7x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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