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Simplifying 3(4x + -11) = 7(2x + -3) Reorder the terms: 3(-11 + 4x) = 7(2x + -3) (-11 * 3 + 4x * 3) = 7(2x + -3) (-33 + 12x) = 7(2x + -3) Reorder the terms: -33 + 12x = 7(-3 + 2x) -33 + 12x = (-3 * 7 + 2x * 7) -33 + 12x = (-21 + 14x) Solving -33 + 12x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -33 + 12x + -14x = -21 + 14x + -14x Combine like terms: 12x + -14x = -2x -33 + -2x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -33 + -2x = -21 + 0 -33 + -2x = -21 Add '33' to each side of the equation. -33 + 33 + -2x = -21 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = -21 + 33 -2x = -21 + 33 Combine like terms: -21 + 33 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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