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Simplifying 7(4x + -3) + 1 = 5(x + 6) Reorder the terms: 7(-3 + 4x) + 1 = 5(x + 6) (-3 * 7 + 4x * 7) + 1 = 5(x + 6) (-21 + 28x) + 1 = 5(x + 6) Reorder the terms: -21 + 1 + 28x = 5(x + 6) Combine like terms: -21 + 1 = -20 -20 + 28x = 5(x + 6) Reorder the terms: -20 + 28x = 5(6 + x) -20 + 28x = (6 * 5 + x * 5) -20 + 28x = (30 + 5x) Solving -20 + 28x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 28x + -5x = 30 + 5x + -5x Combine like terms: 28x + -5x = 23x -20 + 23x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 23x = 30 + 0 -20 + 23x = 30 Add '20' to each side of the equation. -20 + 20 + 23x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 23x = 30 + 20 23x = 30 + 20 Combine like terms: 30 + 20 = 50 23x = 50 Divide each side by '23'. x = 2.173913043 Simplifying x = 2.173913043
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