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Simplifying -3(x + -7) = 4(2x + -5) + -3 Reorder the terms: -3(-7 + x) = 4(2x + -5) + -3 (-7 * -3 + x * -3) = 4(2x + -5) + -3 (21 + -3x) = 4(2x + -5) + -3 Reorder the terms: 21 + -3x = 4(-5 + 2x) + -3 21 + -3x = (-5 * 4 + 2x * 4) + -3 21 + -3x = (-20 + 8x) + -3 Reorder the terms: 21 + -3x = -20 + -3 + 8x Combine like terms: -20 + -3 = -23 21 + -3x = -23 + 8x Solving 21 + -3x = -23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + -3x + -8x = -23 + 8x + -8x Combine like terms: -3x + -8x = -11x 21 + -11x = -23 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -11x = -23 + 0 21 + -11x = -23 Add '-21' to each side of the equation. 21 + -21 + -11x = -23 + -21 Combine like terms: 21 + -21 = 0 0 + -11x = -23 + -21 -11x = -23 + -21 Combine like terms: -23 + -21 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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