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Simplifying 4x + -1(5x + 7) = 6x + -49 Reorder the terms: 4x + -1(7 + 5x) = 6x + -49 4x + (7 * -1 + 5x * -1) = 6x + -49 4x + (-7 + -5x) = 6x + -49 Reorder the terms: -7 + 4x + -5x = 6x + -49 Combine like terms: 4x + -5x = -1x -7 + -1x = 6x + -49 Reorder the terms: -7 + -1x = -49 + 6x Solving -7 + -1x = -49 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + -1x + -6x = -49 + 6x + -6x Combine like terms: -1x + -6x = -7x -7 + -7x = -49 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -7x = -49 + 0 -7 + -7x = -49 Add '7' to each side of the equation. -7 + 7 + -7x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -49 + 7 -7x = -49 + 7 Combine like terms: -49 + 7 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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