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Simplifying -1(x + 7) + -5 = 4(x + 3) + -6x Reorder the terms: -1(7 + x) + -5 = 4(x + 3) + -6x (7 * -1 + x * -1) + -5 = 4(x + 3) + -6x (-7 + -1x) + -5 = 4(x + 3) + -6x Reorder the terms: -7 + -5 + -1x = 4(x + 3) + -6x Combine like terms: -7 + -5 = -12 -12 + -1x = 4(x + 3) + -6x Reorder the terms: -12 + -1x = 4(3 + x) + -6x -12 + -1x = (3 * 4 + x * 4) + -6x -12 + -1x = (12 + 4x) + -6x Combine like terms: 4x + -6x = -2x -12 + -1x = 12 + -2x Solving -12 + -1x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + -1x + 2x = 12 + -2x + 2x Combine like terms: -1x + 2x = 1x -12 + 1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 1x = 12 + 0 -12 + 1x = 12 Add '12' to each side of the equation. -12 + 12 + 1x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 12 + 12 1x = 12 + 12 Combine like terms: 12 + 12 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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