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Simplifying 7(x + -8) + 27 = 3(x + -7) Reorder the terms: 7(-8 + x) + 27 = 3(x + -7) (-8 * 7 + x * 7) + 27 = 3(x + -7) (-56 + 7x) + 27 = 3(x + -7) Reorder the terms: -56 + 27 + 7x = 3(x + -7) Combine like terms: -56 + 27 = -29 -29 + 7x = 3(x + -7) Reorder the terms: -29 + 7x = 3(-7 + x) -29 + 7x = (-7 * 3 + x * 3) -29 + 7x = (-21 + 3x) Solving -29 + 7x = -21 + 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. -29 + 7x + -3x = -21 + 3x + -3x Combine like terms: 7x + -3x = 4x -29 + 4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 4x = -21 + 0 -29 + 4x = -21 Add '29' to each side of the equation. -29 + 29 + 4x = -21 + 29 Combine like terms: -29 + 29 = 0 0 + 4x = -21 + 29 4x = -21 + 29 Combine like terms: -21 + 29 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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