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Simplifying 6 + -1(4x + -7) = 7 + -5x Reorder the terms: 6 + -1(-7 + 4x) = 7 + -5x 6 + (-7 * -1 + 4x * -1) = 7 + -5x 6 + (7 + -4x) = 7 + -5x Combine like terms: 6 + 7 = 13 13 + -4x = 7 + -5x Solving 13 + -4x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + -4x + 5x = 7 + -5x + 5x Combine like terms: -4x + 5x = 1x 13 + 1x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 1x = 7 + 0 13 + 1x = 7 Add '-13' to each side of the equation. 13 + -13 + 1x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 7 + -13 1x = 7 + -13 Combine like terms: 7 + -13 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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