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Simplifying 6x + 3(1 + -4x) = -7x + 9 6x + (1 * 3 + -4x * 3) = -7x + 9 6x + (3 + -12x) = -7x + 9 Reorder the terms: 3 + 6x + -12x = -7x + 9 Combine like terms: 6x + -12x = -6x 3 + -6x = -7x + 9 Reorder the terms: 3 + -6x = 9 + -7x Solving 3 + -6x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + -6x + 7x = 9 + -7x + 7x Combine like terms: -6x + 7x = 1x 3 + 1x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 1x = 9 + 0 3 + 1x = 9 Add '-3' to each side of the equation. 3 + -3 + 1x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 9 + -3 1x = 9 + -3 Combine like terms: 9 + -3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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