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Simplifying 10x + 1 = 3(3x + -2) + 7 Reorder the terms: 1 + 10x = 3(3x + -2) + 7 Reorder the terms: 1 + 10x = 3(-2 + 3x) + 7 1 + 10x = (-2 * 3 + 3x * 3) + 7 1 + 10x = (-6 + 9x) + 7 Reorder the terms: 1 + 10x = -6 + 7 + 9x Combine like terms: -6 + 7 = 1 1 + 10x = 1 + 9x Add '-1' to each side of the equation. 1 + -1 + 10x = 1 + -1 + 9x Combine like terms: 1 + -1 = 0 0 + 10x = 1 + -1 + 9x 10x = 1 + -1 + 9x Combine like terms: 1 + -1 = 0 10x = 0 + 9x 10x = 9x Solving 10x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10x + -9x = 9x + -9x Combine like terms: 10x + -9x = 1x 1x = 9x + -9x Combine like terms: 9x + -9x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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