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Simplifying 5(x + 14) = 3(x + -11) Reorder the terms: 5(14 + x) = 3(x + -11) (14 * 5 + x * 5) = 3(x + -11) (70 + 5x) = 3(x + -11) Reorder the terms: 70 + 5x = 3(-11 + x) 70 + 5x = (-11 * 3 + x * 3) 70 + 5x = (-33 + 3x) Solving 70 + 5x = -33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 70 + 5x + -3x = -33 + 3x + -3x Combine like terms: 5x + -3x = 2x 70 + 2x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 70 + 2x = -33 + 0 70 + 2x = -33 Add '-70' to each side of the equation. 70 + -70 + 2x = -33 + -70 Combine like terms: 70 + -70 = 0 0 + 2x = -33 + -70 2x = -33 + -70 Combine like terms: -33 + -70 = -103 2x = -103 Divide each side by '2'. x = -51.5 Simplifying x = -51.5
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