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Simplifying 3x + 8(x + -7) = 3(x + -8) Reorder the terms: 3x + 8(-7 + x) = 3(x + -8) 3x + (-7 * 8 + x * 8) = 3(x + -8) 3x + (-56 + 8x) = 3(x + -8) Reorder the terms: -56 + 3x + 8x = 3(x + -8) Combine like terms: 3x + 8x = 11x -56 + 11x = 3(x + -8) Reorder the terms: -56 + 11x = 3(-8 + x) -56 + 11x = (-8 * 3 + x * 3) -56 + 11x = (-24 + 3x) Solving -56 + 11x = -24 + 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. -56 + 11x + -3x = -24 + 3x + -3x Combine like terms: 11x + -3x = 8x -56 + 8x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -56 + 8x = -24 + 0 -56 + 8x = -24 Add '56' to each side of the equation. -56 + 56 + 8x = -24 + 56 Combine like terms: -56 + 56 = 0 0 + 8x = -24 + 56 8x = -24 + 56 Combine like terms: -24 + 56 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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