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Simplifying 2 + 3(3x + -6) = 9 + -4(2x + 1) Reorder the terms: 2 + 3(-6 + 3x) = 9 + -4(2x + 1) 2 + (-6 * 3 + 3x * 3) = 9 + -4(2x + 1) 2 + (-18 + 9x) = 9 + -4(2x + 1) Combine like terms: 2 + -18 = -16 -16 + 9x = 9 + -4(2x + 1) Reorder the terms: -16 + 9x = 9 + -4(1 + 2x) -16 + 9x = 9 + (1 * -4 + 2x * -4) -16 + 9x = 9 + (-4 + -8x) Combine like terms: 9 + -4 = 5 -16 + 9x = 5 + -8x Solving -16 + 9x = 5 + -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. -16 + 9x + 8x = 5 + -8x + 8x Combine like terms: 9x + 8x = 17x -16 + 17x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 17x = 5 + 0 -16 + 17x = 5 Add '16' to each side of the equation. -16 + 16 + 17x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 17x = 5 + 16 17x = 5 + 16 Combine like terms: 5 + 16 = 21 17x = 21 Divide each side by '17'. x = 1.235294118 Simplifying x = 1.235294118
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