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Simplifying -5 = -1(4x + -5) + 6(6x + -7) Reorder the terms: -5 = -1(-5 + 4x) + 6(6x + -7) -5 = (-5 * -1 + 4x * -1) + 6(6x + -7) -5 = (5 + -4x) + 6(6x + -7) Reorder the terms: -5 = 5 + -4x + 6(-7 + 6x) -5 = 5 + -4x + (-7 * 6 + 6x * 6) -5 = 5 + -4x + (-42 + 36x) Reorder the terms: -5 = 5 + -42 + -4x + 36x Combine like terms: 5 + -42 = -37 -5 = -37 + -4x + 36x Combine like terms: -4x + 36x = 32x -5 = -37 + 32x Solving -5 = -37 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -5 + -32x = -37 + 32x + -32x Combine like terms: 32x + -32x = 0 -5 + -32x = -37 + 0 -5 + -32x = -37 Add '5' to each side of the equation. -5 + 5 + -32x = -37 + 5 Combine like terms: -5 + 5 = 0 0 + -32x = -37 + 5 -32x = -37 + 5 Combine like terms: -37 + 5 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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