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Simplifying -7 + -6x + 2 = -1(x + -4) + 2(x + 6) Reorder the terms: -7 + 2 + -6x = -1(x + -4) + 2(x + 6) Combine like terms: -7 + 2 = -5 -5 + -6x = -1(x + -4) + 2(x + 6) Reorder the terms: -5 + -6x = -1(-4 + x) + 2(x + 6) -5 + -6x = (-4 * -1 + x * -1) + 2(x + 6) -5 + -6x = (4 + -1x) + 2(x + 6) Reorder the terms: -5 + -6x = 4 + -1x + 2(6 + x) -5 + -6x = 4 + -1x + (6 * 2 + x * 2) -5 + -6x = 4 + -1x + (12 + 2x) Reorder the terms: -5 + -6x = 4 + 12 + -1x + 2x Combine like terms: 4 + 12 = 16 -5 + -6x = 16 + -1x + 2x Combine like terms: -1x + 2x = 1x -5 + -6x = 16 + 1x Solving -5 + -6x = 16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + -6x + -1x = 16 + 1x + -1x Combine like terms: -6x + -1x = -7x -5 + -7x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -7x = 16 + 0 -5 + -7x = 16 Add '5' to each side of the equation. -5 + 5 + -7x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 16 + 5 -7x = 16 + 5 Combine like terms: 16 + 5 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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