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Simplifying 4(3x + 6) + -6(3x + -5) = 11x + 3(2x + -7) Reorder the terms: 4(6 + 3x) + -6(3x + -5) = 11x + 3(2x + -7) (6 * 4 + 3x * 4) + -6(3x + -5) = 11x + 3(2x + -7) (24 + 12x) + -6(3x + -5) = 11x + 3(2x + -7) Reorder the terms: 24 + 12x + -6(-5 + 3x) = 11x + 3(2x + -7) 24 + 12x + (-5 * -6 + 3x * -6) = 11x + 3(2x + -7) 24 + 12x + (30 + -18x) = 11x + 3(2x + -7) Reorder the terms: 24 + 30 + 12x + -18x = 11x + 3(2x + -7) Combine like terms: 24 + 30 = 54 54 + 12x + -18x = 11x + 3(2x + -7) Combine like terms: 12x + -18x = -6x 54 + -6x = 11x + 3(2x + -7) Reorder the terms: 54 + -6x = 11x + 3(-7 + 2x) 54 + -6x = 11x + (-7 * 3 + 2x * 3) 54 + -6x = 11x + (-21 + 6x) Reorder the terms: 54 + -6x = -21 + 11x + 6x Combine like terms: 11x + 6x = 17x 54 + -6x = -21 + 17x Solving 54 + -6x = -21 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 54 + -6x + -17x = -21 + 17x + -17x Combine like terms: -6x + -17x = -23x 54 + -23x = -21 + 17x + -17x Combine like terms: 17x + -17x = 0 54 + -23x = -21 + 0 54 + -23x = -21 Add '-54' to each side of the equation. 54 + -54 + -23x = -21 + -54 Combine like terms: 54 + -54 = 0 0 + -23x = -21 + -54 -23x = -21 + -54 Combine like terms: -21 + -54 = -75 -23x = -75 Divide each side by '-23'. x = 3.260869565 Simplifying x = 3.260869565
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