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Simplifying 9 + 8(x + -2) = 3 + -3(x + -4) Reorder the terms: 9 + 8(-2 + x) = 3 + -3(x + -4) 9 + (-2 * 8 + x * 8) = 3 + -3(x + -4) 9 + (-16 + 8x) = 3 + -3(x + -4) Combine like terms: 9 + -16 = -7 -7 + 8x = 3 + -3(x + -4) Reorder the terms: -7 + 8x = 3 + -3(-4 + x) -7 + 8x = 3 + (-4 * -3 + x * -3) -7 + 8x = 3 + (12 + -3x) Combine like terms: 3 + 12 = 15 -7 + 8x = 15 + -3x Solving -7 + 8x = 15 + -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. -7 + 8x + 3x = 15 + -3x + 3x Combine like terms: 8x + 3x = 11x -7 + 11x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 11x = 15 + 0 -7 + 11x = 15 Add '7' to each side of the equation. -7 + 7 + 11x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 15 + 7 11x = 15 + 7 Combine like terms: 15 + 7 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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