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Simplifying -5(x + -7) = -3x + 47 Reorder the terms: -5(-7 + x) = -3x + 47 (-7 * -5 + x * -5) = -3x + 47 (35 + -5x) = -3x + 47 Reorder the terms: 35 + -5x = 47 + -3x Solving 35 + -5x = 47 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 35 + -5x + 3x = 47 + -3x + 3x Combine like terms: -5x + 3x = -2x 35 + -2x = 47 + -3x + 3x Combine like terms: -3x + 3x = 0 35 + -2x = 47 + 0 35 + -2x = 47 Add '-35' to each side of the equation. 35 + -35 + -2x = 47 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 47 + -35 -2x = 47 + -35 Combine like terms: 47 + -35 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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