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Simplifying -1(x + 7) + -5 = (x + 3) + -6x Reorder the terms: -1(7 + x) + -5 = (x + 3) + -6x (7 * -1 + x * -1) + -5 = (x + 3) + -6x (-7 + -1x) + -5 = (x + 3) + -6x Reorder the terms: -7 + -5 + -1x = (x + 3) + -6x Combine like terms: -7 + -5 = -12 -12 + -1x = (x + 3) + -6x Reorder the terms: -12 + -1x = (3 + x) + -6x Remove parenthesis around (3 + x) -12 + -1x = 3 + x + -6x Combine like terms: x + -6x = -5x -12 + -1x = 3 + -5x Solving -12 + -1x = 3 + -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. -12 + -1x + 5x = 3 + -5x + 5x Combine like terms: -1x + 5x = 4x -12 + 4x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 4x = 3 + 0 -12 + 4x = 3 Add '12' to each side of the equation. -12 + 12 + 4x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 3 + 12 4x = 3 + 12 Combine like terms: 3 + 12 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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