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Simplifying 7 + -8(x + -4) = 3x + -7 Reorder the terms: 7 + -8(-4 + x) = 3x + -7 7 + (-4 * -8 + x * -8) = 3x + -7 7 + (32 + -8x) = 3x + -7 Combine like terms: 7 + 32 = 39 39 + -8x = 3x + -7 Reorder the terms: 39 + -8x = -7 + 3x Solving 39 + -8x = -7 + 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. 39 + -8x + -3x = -7 + 3x + -3x Combine like terms: -8x + -3x = -11x 39 + -11x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 39 + -11x = -7 + 0 39 + -11x = -7 Add '-39' to each side of the equation. 39 + -39 + -11x = -7 + -39 Combine like terms: 39 + -39 = 0 0 + -11x = -7 + -39 -11x = -7 + -39 Combine like terms: -7 + -39 = -46 -11x = -46 Divide each side by '-11'. x = 4.181818182 Simplifying x = 4.181818182
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