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Simplifying 45 + -1(4x + 7) = 4(x + 5) + x Reorder the terms: 45 + -1(7 + 4x) = 4(x + 5) + x 45 + (7 * -1 + 4x * -1) = 4(x + 5) + x 45 + (-7 + -4x) = 4(x + 5) + x Combine like terms: 45 + -7 = 38 38 + -4x = 4(x + 5) + x Reorder the terms: 38 + -4x = 4(5 + x) + x 38 + -4x = (5 * 4 + x * 4) + x 38 + -4x = (20 + 4x) + x Combine like terms: 4x + x = 5x 38 + -4x = 20 + 5x Solving 38 + -4x = 20 + 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. 38 + -4x + -5x = 20 + 5x + -5x Combine like terms: -4x + -5x = -9x 38 + -9x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -9x = 20 + 0 38 + -9x = 20 Add '-38' to each side of the equation. 38 + -38 + -9x = 20 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = 20 + -38 -9x = 20 + -38 Combine like terms: 20 + -38 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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