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Simplifying 7(x + -5) + -4 = 9 + 3(5x + -7) Reorder the terms: 7(-5 + x) + -4 = 9 + 3(5x + -7) (-5 * 7 + x * 7) + -4 = 9 + 3(5x + -7) (-35 + 7x) + -4 = 9 + 3(5x + -7) Reorder the terms: -35 + -4 + 7x = 9 + 3(5x + -7) Combine like terms: -35 + -4 = -39 -39 + 7x = 9 + 3(5x + -7) Reorder the terms: -39 + 7x = 9 + 3(-7 + 5x) -39 + 7x = 9 + (-7 * 3 + 5x * 3) -39 + 7x = 9 + (-21 + 15x) Combine like terms: 9 + -21 = -12 -39 + 7x = -12 + 15x Solving -39 + 7x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -39 + 7x + -15x = -12 + 15x + -15x Combine like terms: 7x + -15x = -8x -39 + -8x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -39 + -8x = -12 + 0 -39 + -8x = -12 Add '39' to each side of the equation. -39 + 39 + -8x = -12 + 39 Combine like terms: -39 + 39 = 0 0 + -8x = -12 + 39 -8x = -12 + 39 Combine like terms: -12 + 39 = 27 -8x = 27 Divide each side by '-8'. x = -3.375 Simplifying x = -3.375
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