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Simplifying -7(2x + -5) = 6(4x + -7) + 1 Reorder the terms: -7(-5 + 2x) = 6(4x + -7) + 1 (-5 * -7 + 2x * -7) = 6(4x + -7) + 1 (35 + -14x) = 6(4x + -7) + 1 Reorder the terms: 35 + -14x = 6(-7 + 4x) + 1 35 + -14x = (-7 * 6 + 4x * 6) + 1 35 + -14x = (-42 + 24x) + 1 Reorder the terms: 35 + -14x = -42 + 1 + 24x Combine like terms: -42 + 1 = -41 35 + -14x = -41 + 24x Solving 35 + -14x = -41 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 35 + -14x + -24x = -41 + 24x + -24x Combine like terms: -14x + -24x = -38x 35 + -38x = -41 + 24x + -24x Combine like terms: 24x + -24x = 0 35 + -38x = -41 + 0 35 + -38x = -41 Add '-35' to each side of the equation. 35 + -35 + -38x = -41 + -35 Combine like terms: 35 + -35 = 0 0 + -38x = -41 + -35 -38x = -41 + -35 Combine like terms: -41 + -35 = -76 -38x = -76 Divide each side by '-38'. x = 2 Simplifying x = 2
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