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Simplifying 78 + -1(4x + 5) = 4(x + 7) + x Reorder the terms: 78 + -1(5 + 4x) = 4(x + 7) + x 78 + (5 * -1 + 4x * -1) = 4(x + 7) + x 78 + (-5 + -4x) = 4(x + 7) + x Combine like terms: 78 + -5 = 73 73 + -4x = 4(x + 7) + x Reorder the terms: 73 + -4x = 4(7 + x) + x 73 + -4x = (7 * 4 + x * 4) + x 73 + -4x = (28 + 4x) + x Combine like terms: 4x + x = 5x 73 + -4x = 28 + 5x Solving 73 + -4x = 28 + 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. 73 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 73 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 73 + -9x = 28 + 0 73 + -9x = 28 Add '-73' to each side of the equation. 73 + -73 + -9x = 28 + -73 Combine like terms: 73 + -73 = 0 0 + -9x = 28 + -73 -9x = 28 + -73 Combine like terms: 28 + -73 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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