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Simplifying 6x + 2(3 + -1x) = 7x + 9 + 9 6x + (3 * 2 + -1x * 2) = 7x + 9 + 9 6x + (6 + -2x) = 7x + 9 + 9 Reorder the terms: 6 + 6x + -2x = 7x + 9 + 9 Combine like terms: 6x + -2x = 4x 6 + 4x = 7x + 9 + 9 Reorder the terms: 6 + 4x = 9 + 9 + 7x Combine like terms: 9 + 9 = 18 6 + 4x = 18 + 7x Solving 6 + 4x = 18 + 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. 6 + 4x + -7x = 18 + 7x + -7x Combine like terms: 4x + -7x = -3x 6 + -3x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -3x = 18 + 0 6 + -3x = 18 Add '-6' to each side of the equation. 6 + -6 + -3x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 18 + -6 -3x = 18 + -6 Combine like terms: 18 + -6 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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