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Simplifying 10x + 1 = 6[2x + 1] + -25 Reorder the terms: 1 + 10x = 6[2x + 1] + -25 Reorder the terms: 1 + 10x = 6[1 + 2x] + -25 1 + 10x = [1 * 6 + 2x * 6] + -25 1 + 10x = [6 + 12x] + -25 Reorder the terms: 1 + 10x = 6 + -25 + 12x Combine like terms: 6 + -25 = -19 1 + 10x = -19 + 12x Solving 1 + 10x = -19 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 10x + -12x = -19 + 12x + -12x Combine like terms: 10x + -12x = -2x 1 + -2x = -19 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -2x = -19 + 0 1 + -2x = -19 Add '-1' to each side of the equation. 1 + -1 + -2x = -19 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -19 + -1 -2x = -19 + -1 Combine like terms: -19 + -1 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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