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Simplifying 10x + 1 = 2(3x + 3) + -1 Reorder the terms: 1 + 10x = 2(3x + 3) + -1 Reorder the terms: 1 + 10x = 2(3 + 3x) + -1 1 + 10x = (3 * 2 + 3x * 2) + -1 1 + 10x = (6 + 6x) + -1 Reorder the terms: 1 + 10x = 6 + -1 + 6x Combine like terms: 6 + -1 = 5 1 + 10x = 5 + 6x Solving 1 + 10x = 5 + 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. 1 + 10x + -6x = 5 + 6x + -6x Combine like terms: 10x + -6x = 4x 1 + 4x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 4x = 5 + 0 1 + 4x = 5 Add '-1' to each side of the equation. 1 + -1 + 4x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 5 + -1 4x = 5 + -1 Combine like terms: 5 + -1 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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