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Simplifying 7(2x + 3) = 2(5x + -8) Reorder the terms: 7(3 + 2x) = 2(5x + -8) (3 * 7 + 2x * 7) = 2(5x + -8) (21 + 14x) = 2(5x + -8) Reorder the terms: 21 + 14x = 2(-8 + 5x) 21 + 14x = (-8 * 2 + 5x * 2) 21 + 14x = (-16 + 10x) Solving 21 + 14x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 14x + -10x = -16 + 10x + -10x Combine like terms: 14x + -10x = 4x 21 + 4x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + 4x = -16 + 0 21 + 4x = -16 Add '-21' to each side of the equation. 21 + -21 + 4x = -16 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = -16 + -21 4x = -16 + -21 Combine like terms: -16 + -21 = -37 4x = -37 Divide each side by '4'. x = -9.25 Simplifying x = -9.25
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