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Simplifying 8x + 3 = x + 9(x + -1) Reorder the terms: 3 + 8x = x + 9(x + -1) Reorder the terms: 3 + 8x = x + 9(-1 + x) 3 + 8x = x + (-1 * 9 + x * 9) 3 + 8x = x + (-9 + 9x) Reorder the terms: 3 + 8x = -9 + x + 9x Combine like terms: x + 9x = 10x 3 + 8x = -9 + 10x Solving 3 + 8x = -9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 8x + -10x = -9 + 10x + -10x Combine like terms: 8x + -10x = -2x 3 + -2x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -2x = -9 + 0 3 + -2x = -9 Add '-3' to each side of the equation. 3 + -3 + -2x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -9 + -3 -2x = -9 + -3 Combine like terms: -9 + -3 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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