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Simplifying 6 + -1(3x + -7) = 1 + -4x Reorder the terms: 6 + -1(-7 + 3x) = 1 + -4x 6 + (-7 * -1 + 3x * -1) = 1 + -4x 6 + (7 + -3x) = 1 + -4x Combine like terms: 6 + 7 = 13 13 + -3x = 1 + -4x Solving 13 + -3x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + -3x + 4x = 1 + -4x + 4x Combine like terms: -3x + 4x = 1x 13 + 1x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 1x = 1 + 0 13 + 1x = 1 Add '-13' to each side of the equation. 13 + -13 + 1x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 1 + -13 1x = 1 + -13 Combine like terms: 1 + -13 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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