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Simplifying 6 + 3(3x + -5) = 5 + -4(2x + 1) Reorder the terms: 6 + 3(-5 + 3x) = 5 + -4(2x + 1) 6 + (-5 * 3 + 3x * 3) = 5 + -4(2x + 1) 6 + (-15 + 9x) = 5 + -4(2x + 1) Combine like terms: 6 + -15 = -9 -9 + 9x = 5 + -4(2x + 1) Reorder the terms: -9 + 9x = 5 + -4(1 + 2x) -9 + 9x = 5 + (1 * -4 + 2x * -4) -9 + 9x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -9 + 9x = 1 + -8x Solving -9 + 9x = 1 + -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. -9 + 9x + 8x = 1 + -8x + 8x Combine like terms: 9x + 8x = 17x -9 + 17x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 17x = 1 + 0 -9 + 17x = 1 Add '9' to each side of the equation. -9 + 9 + 17x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 17x = 1 + 9 17x = 1 + 9 Combine like terms: 1 + 9 = 10 17x = 10 Divide each side by '17'. x = 0.5882352941 Simplifying x = 0.5882352941
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