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Simplifying 8x + -4 + 3(x + 7) = 6x + -3(x + -3) Reorder the terms: 8x + -4 + 3(7 + x) = 6x + -3(x + -3) 8x + -4 + (7 * 3 + x * 3) = 6x + -3(x + -3) 8x + -4 + (21 + 3x) = 6x + -3(x + -3) Reorder the terms: -4 + 21 + 8x + 3x = 6x + -3(x + -3) Combine like terms: -4 + 21 = 17 17 + 8x + 3x = 6x + -3(x + -3) Combine like terms: 8x + 3x = 11x 17 + 11x = 6x + -3(x + -3) Reorder the terms: 17 + 11x = 6x + -3(-3 + x) 17 + 11x = 6x + (-3 * -3 + x * -3) 17 + 11x = 6x + (9 + -3x) Reorder the terms: 17 + 11x = 9 + 6x + -3x Combine like terms: 6x + -3x = 3x 17 + 11x = 9 + 3x Solving 17 + 11x = 9 + 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. 17 + 11x + -3x = 9 + 3x + -3x Combine like terms: 11x + -3x = 8x 17 + 8x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 8x = 9 + 0 17 + 8x = 9 Add '-17' to each side of the equation. 17 + -17 + 8x = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 9 + -17 8x = 9 + -17 Combine like terms: 9 + -17 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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