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Simplifying -1(x + 7) + -5 = 4(x + 3) + -6 Reorder the terms: -1(7 + x) + -5 = 4(x + 3) + -6 (7 * -1 + x * -1) + -5 = 4(x + 3) + -6 (-7 + -1x) + -5 = 4(x + 3) + -6 Reorder the terms: -7 + -5 + -1x = 4(x + 3) + -6 Combine like terms: -7 + -5 = -12 -12 + -1x = 4(x + 3) + -6 Reorder the terms: -12 + -1x = 4(3 + x) + -6 -12 + -1x = (3 * 4 + x * 4) + -6 -12 + -1x = (12 + 4x) + -6 Reorder the terms: -12 + -1x = 12 + -6 + 4x Combine like terms: 12 + -6 = 6 -12 + -1x = 6 + 4x Solving -12 + -1x = 6 + 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. -12 + -1x + -4x = 6 + 4x + -4x Combine like terms: -1x + -4x = -5x -12 + -5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -5x = 6 + 0 -12 + -5x = 6 Add '12' to each side of the equation. -12 + 12 + -5x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 6 + 12 -5x = 6 + 12 Combine like terms: 6 + 12 = 18 -5x = 18 Divide each side by '-5'. x = -3.6 Simplifying x = -3.6
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