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Simplifying 5(3x + -11) = 4(3x + -2) Reorder the terms: 5(-11 + 3x) = 4(3x + -2) (-11 * 5 + 3x * 5) = 4(3x + -2) (-55 + 15x) = 4(3x + -2) Reorder the terms: -55 + 15x = 4(-2 + 3x) -55 + 15x = (-2 * 4 + 3x * 4) -55 + 15x = (-8 + 12x) Solving -55 + 15x = -8 + 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. -55 + 15x + -12x = -8 + 12x + -12x Combine like terms: 15x + -12x = 3x -55 + 3x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -55 + 3x = -8 + 0 -55 + 3x = -8 Add '55' to each side of the equation. -55 + 55 + 3x = -8 + 55 Combine like terms: -55 + 55 = 0 0 + 3x = -8 + 55 3x = -8 + 55 Combine like terms: -8 + 55 = 47 3x = 47 Divide each side by '3'. x = 15.66666667 Simplifying x = 15.66666667
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