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Simplifying 6x + -1(3x + -7) = 4x + (4x + -1) Reorder the terms: 6x + -1(-7 + 3x) = 4x + (4x + -1) 6x + (-7 * -1 + 3x * -1) = 4x + (4x + -1) 6x + (7 + -3x) = 4x + (4x + -1) Reorder the terms: 7 + 6x + -3x = 4x + (4x + -1) Combine like terms: 6x + -3x = 3x 7 + 3x = 4x + (4x + -1) Reorder the terms: 7 + 3x = 4x + (-1 + 4x) Remove parenthesis around (-1 + 4x) 7 + 3x = 4x + -1 + 4x Reorder the terms: 7 + 3x = -1 + 4x + 4x Combine like terms: 4x + 4x = 8x 7 + 3x = -1 + 8x Solving 7 + 3x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 3x + -8x = -1 + 8x + -8x Combine like terms: 3x + -8x = -5x 7 + -5x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -5x = -1 + 0 7 + -5x = -1 Add '-7' to each side of the equation. 7 + -7 + -5x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -1 + -7 -5x = -1 + -7 Combine like terms: -1 + -7 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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