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Simplifying 1 = -6(x + -4) + -1(-7x + -6) Reorder the terms: 1 = -6(-4 + x) + -1(-7x + -6) 1 = (-4 * -6 + x * -6) + -1(-7x + -6) 1 = (24 + -6x) + -1(-7x + -6) Reorder the terms: 1 = 24 + -6x + -1(-6 + -7x) 1 = 24 + -6x + (-6 * -1 + -7x * -1) 1 = 24 + -6x + (6 + 7x) Reorder the terms: 1 = 24 + 6 + -6x + 7x Combine like terms: 24 + 6 = 30 1 = 30 + -6x + 7x Combine like terms: -6x + 7x = 1x 1 = 30 + 1x Solving 1 = 30 + 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. 1 + -1x = 30 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -1x = 30 + 0 1 + -1x = 30 Add '-1' to each side of the equation. 1 + -1 + -1x = 30 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 30 + -1 -1x = 30 + -1 Combine like terms: 30 + -1 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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