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Simplifying 6x + 5 = 1 + 2(3x + 2x) Reorder the terms: 5 + 6x = 1 + 2(3x + 2x) Combine like terms: 3x + 2x = 5x 5 + 6x = 1 + 2(5x) Remove parenthesis around (5x) 5 + 6x = 1 + 2 * 5x Multiply 2 * 5 5 + 6x = 1 + 10x Solving 5 + 6x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 6x + -10x = 1 + 10x + -10x Combine like terms: 6x + -10x = -4x 5 + -4x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -4x = 1 + 0 5 + -4x = 1 Add '-5' to each side of the equation. 5 + -5 + -4x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 1 + -5 -4x = 1 + -5 Combine like terms: 1 + -5 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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