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Simplifying (-5)(3x + -7) = (3)(3x + 1) Reorder the terms: -5(-7 + 3x) = (3)(3x + 1) (-7 * -5 + 3x * -5) = (3)(3x + 1) (35 + -15x) = (3)(3x + 1) Reorder the terms: 35 + -15x = 3(1 + 3x) 35 + -15x = (1 * 3 + 3x * 3) 35 + -15x = (3 + 9x) Solving 35 + -15x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + -15x + -9x = 3 + 9x + -9x Combine like terms: -15x + -9x = -24x 35 + -24x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -24x = 3 + 0 35 + -24x = 3 Add '-35' to each side of the equation. 35 + -35 + -24x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + -24x = 3 + -35 -24x = 3 + -35 Combine like terms: 3 + -35 = -32 -24x = -32 Divide each side by '-24'. x = 1.333333333 Simplifying x = 1.333333333
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