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Simplifying 10x + 13 = 3(3x + 1) Reorder the terms: 13 + 10x = 3(3x + 1) Reorder the terms: 13 + 10x = 3(1 + 3x) 13 + 10x = (1 * 3 + 3x * 3) 13 + 10x = (3 + 9x) Solving 13 + 10x = 3 + 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. 13 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x 13 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + 1x = 3 + 0 13 + 1x = 3 Add '-13' to each side of the equation. 13 + -13 + 1x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 3 + -13 1x = 3 + -13 Combine like terms: 3 + -13 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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