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Simplifying 1 + -4x = 6 + 3(5 + -2x) 1 + -4x = 6 + (5 * 3 + -2x * 3) 1 + -4x = 6 + (15 + -6x) Combine like terms: 6 + 15 = 21 1 + -4x = 21 + -6x Solving 1 + -4x = 21 + -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 + -4x + 6x = 21 + -6x + 6x Combine like terms: -4x + 6x = 2x 1 + 2x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 2x = 21 + 0 1 + 2x = 21 Add '-1' to each side of the equation. 1 + -1 + 2x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 21 + -1 2x = 21 + -1 Combine like terms: 21 + -1 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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