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Simplifying 7(x + -7) + 13 = 3(x + -4) Reorder the terms: 7(-7 + x) + 13 = 3(x + -4) (-7 * 7 + x * 7) + 13 = 3(x + -4) (-49 + 7x) + 13 = 3(x + -4) Reorder the terms: -49 + 13 + 7x = 3(x + -4) Combine like terms: -49 + 13 = -36 -36 + 7x = 3(x + -4) Reorder the terms: -36 + 7x = 3(-4 + x) -36 + 7x = (-4 * 3 + x * 3) -36 + 7x = (-12 + 3x) Solving -36 + 7x = -12 + 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. -36 + 7x + -3x = -12 + 3x + -3x Combine like terms: 7x + -3x = 4x -36 + 4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 4x = -12 + 0 -36 + 4x = -12 Add '36' to each side of the equation. -36 + 36 + 4x = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -12 + 36 4x = -12 + 36 Combine like terms: -12 + 36 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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