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Simplifying 3(2x + -5) = 11 + -4(3x + -8) Reorder the terms: 3(-5 + 2x) = 11 + -4(3x + -8) (-5 * 3 + 2x * 3) = 11 + -4(3x + -8) (-15 + 6x) = 11 + -4(3x + -8) Reorder the terms: -15 + 6x = 11 + -4(-8 + 3x) -15 + 6x = 11 + (-8 * -4 + 3x * -4) -15 + 6x = 11 + (32 + -12x) Combine like terms: 11 + 32 = 43 -15 + 6x = 43 + -12x Solving -15 + 6x = 43 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15 + 6x + 12x = 43 + -12x + 12x Combine like terms: 6x + 12x = 18x -15 + 18x = 43 + -12x + 12x Combine like terms: -12x + 12x = 0 -15 + 18x = 43 + 0 -15 + 18x = 43 Add '15' to each side of the equation. -15 + 15 + 18x = 43 + 15 Combine like terms: -15 + 15 = 0 0 + 18x = 43 + 15 18x = 43 + 15 Combine like terms: 43 + 15 = 58 18x = 58 Divide each side by '18'. x = 3.222222222 Simplifying x = 3.222222222
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