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Simplifying 7(2x + 3) = 6(4x + 5) Reorder the terms: 7(3 + 2x) = 6(4x + 5) (3 * 7 + 2x * 7) = 6(4x + 5) (21 + 14x) = 6(4x + 5) Reorder the terms: 21 + 14x = 6(5 + 4x) 21 + 14x = (5 * 6 + 4x * 6) 21 + 14x = (30 + 24x) Solving 21 + 14x = 30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 21 + 14x + -24x = 30 + 24x + -24x Combine like terms: 14x + -24x = -10x 21 + -10x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 21 + -10x = 30 + 0 21 + -10x = 30 Add '-21' to each side of the equation. 21 + -21 + -10x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = 30 + -21 -10x = 30 + -21 Combine like terms: 30 + -21 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9
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