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Simplifying 6x + -1(2x + -3) = x + 12 Reorder the terms: 6x + -1(-3 + 2x) = x + 12 6x + (-3 * -1 + 2x * -1) = x + 12 6x + (3 + -2x) = x + 12 Reorder the terms: 3 + 6x + -2x = x + 12 Combine like terms: 6x + -2x = 4x 3 + 4x = x + 12 Reorder the terms: 3 + 4x = 12 + x Solving 3 + 4x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 4x + -1x = 12 + x + -1x Combine like terms: 4x + -1x = 3x 3 + 3x = 12 + x + -1x Combine like terms: x + -1x = 0 3 + 3x = 12 + 0 3 + 3x = 12 Add '-3' to each side of the equation. 3 + -3 + 3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 12 + -3 3x = 12 + -3 Combine like terms: 12 + -3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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