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Simplifying 7(4x + -3) = 8 + 5(3x + 2) Reorder the terms: 7(-3 + 4x) = 8 + 5(3x + 2) (-3 * 7 + 4x * 7) = 8 + 5(3x + 2) (-21 + 28x) = 8 + 5(3x + 2) Reorder the terms: -21 + 28x = 8 + 5(2 + 3x) -21 + 28x = 8 + (2 * 5 + 3x * 5) -21 + 28x = 8 + (10 + 15x) Combine like terms: 8 + 10 = 18 -21 + 28x = 18 + 15x Solving -21 + 28x = 18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + 28x + -15x = 18 + 15x + -15x Combine like terms: 28x + -15x = 13x -21 + 13x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + 13x = 18 + 0 -21 + 13x = 18 Add '21' to each side of the equation. -21 + 21 + 13x = 18 + 21 Combine like terms: -21 + 21 = 0 0 + 13x = 18 + 21 13x = 18 + 21 Combine like terms: 18 + 21 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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