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Simplifying 5(x + -7) + 7x = 13 + 3(x + -4) Reorder the terms: 5(-7 + x) + 7x = 13 + 3(x + -4) (-7 * 5 + x * 5) + 7x = 13 + 3(x + -4) (-35 + 5x) + 7x = 13 + 3(x + -4) Combine like terms: 5x + 7x = 12x -35 + 12x = 13 + 3(x + -4) Reorder the terms: -35 + 12x = 13 + 3(-4 + x) -35 + 12x = 13 + (-4 * 3 + x * 3) -35 + 12x = 13 + (-12 + 3x) Combine like terms: 13 + -12 = 1 -35 + 12x = 1 + 3x Solving -35 + 12x = 1 + 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 + 12x + -3x = 1 + 3x + -3x Combine like terms: 12x + -3x = 9x -35 + 9x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 9x = 1 + 0 -35 + 9x = 1 Add '35' to each side of the equation. -35 + 35 + 9x = 1 + 35 Combine like terms: -35 + 35 = 0 0 + 9x = 1 + 35 9x = 1 + 35 Combine like terms: 1 + 35 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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