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Simplifying 6x + -1(5x + 7) = 4x + -40 Reorder the terms: 6x + -1(7 + 5x) = 4x + -40 6x + (7 * -1 + 5x * -1) = 4x + -40 6x + (-7 + -5x) = 4x + -40 Reorder the terms: -7 + 6x + -5x = 4x + -40 Combine like terms: 6x + -5x = 1x -7 + 1x = 4x + -40 Reorder the terms: -7 + 1x = -40 + 4x Solving -7 + 1x = -40 + 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. -7 + 1x + -4x = -40 + 4x + -4x Combine like terms: 1x + -4x = -3x -7 + -3x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -3x = -40 + 0 -7 + -3x = -40 Add '7' to each side of the equation. -7 + 7 + -3x = -40 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -40 + 7 -3x = -40 + 7 Combine like terms: -40 + 7 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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