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Simplifying 7(2x + -13) = 3(4x + -11) Reorder the terms: 7(-13 + 2x) = 3(4x + -11) (-13 * 7 + 2x * 7) = 3(4x + -11) (-91 + 14x) = 3(4x + -11) Reorder the terms: -91 + 14x = 3(-11 + 4x) -91 + 14x = (-11 * 3 + 4x * 3) -91 + 14x = (-33 + 12x) Solving -91 + 14x = -33 + 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. -91 + 14x + -12x = -33 + 12x + -12x Combine like terms: 14x + -12x = 2x -91 + 2x = -33 + 12x + -12x Combine like terms: 12x + -12x = 0 -91 + 2x = -33 + 0 -91 + 2x = -33 Add '91' to each side of the equation. -91 + 91 + 2x = -33 + 91 Combine like terms: -91 + 91 = 0 0 + 2x = -33 + 91 2x = -33 + 91 Combine like terms: -33 + 91 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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