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Simplifying 3 + 5(x + -4) = 4 + -3(x + -7) Reorder the terms: 3 + 5(-4 + x) = 4 + -3(x + -7) 3 + (-4 * 5 + x * 5) = 4 + -3(x + -7) 3 + (-20 + 5x) = 4 + -3(x + -7) Combine like terms: 3 + -20 = -17 -17 + 5x = 4 + -3(x + -7) Reorder the terms: -17 + 5x = 4 + -3(-7 + x) -17 + 5x = 4 + (-7 * -3 + x * -3) -17 + 5x = 4 + (21 + -3x) Combine like terms: 4 + 21 = 25 -17 + 5x = 25 + -3x Solving -17 + 5x = 25 + -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. -17 + 5x + 3x = 25 + -3x + 3x Combine like terms: 5x + 3x = 8x -17 + 8x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 8x = 25 + 0 -17 + 8x = 25 Add '17' to each side of the equation. -17 + 17 + 8x = 25 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 25 + 17 8x = 25 + 17 Combine like terms: 25 + 17 = 42 8x = 42 Divide each side by '8'. x = 5.25 Simplifying x = 5.25
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