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Simplifying 8 + 3(3x + -6) = 8 + -4(2x + 1) Reorder the terms: 8 + 3(-6 + 3x) = 8 + -4(2x + 1) 8 + (-6 * 3 + 3x * 3) = 8 + -4(2x + 1) 8 + (-18 + 9x) = 8 + -4(2x + 1) Combine like terms: 8 + -18 = -10 -10 + 9x = 8 + -4(2x + 1) Reorder the terms: -10 + 9x = 8 + -4(1 + 2x) -10 + 9x = 8 + (1 * -4 + 2x * -4) -10 + 9x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -10 + 9x = 4 + -8x Solving -10 + 9x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + 9x + 8x = 4 + -8x + 8x Combine like terms: 9x + 8x = 17x -10 + 17x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 17x = 4 + 0 -10 + 17x = 4 Add '10' to each side of the equation. -10 + 10 + 17x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = 4 + 10 17x = 4 + 10 Combine like terms: 4 + 10 = 14 17x = 14 Divide each side by '17'. x = 0.8235294118 Simplifying x = 0.8235294118
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