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Simplifying 62 + -1(4x + 7) = 4(x + 7) + x Reorder the terms: 62 + -1(7 + 4x) = 4(x + 7) + x 62 + (7 * -1 + 4x * -1) = 4(x + 7) + x 62 + (-7 + -4x) = 4(x + 7) + x Combine like terms: 62 + -7 = 55 55 + -4x = 4(x + 7) + x Reorder the terms: 55 + -4x = 4(7 + x) + x 55 + -4x = (7 * 4 + x * 4) + x 55 + -4x = (28 + 4x) + x Combine like terms: 4x + x = 5x 55 + -4x = 28 + 5x Solving 55 + -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. 55 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 55 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 55 + -9x = 28 + 0 55 + -9x = 28 Add '-55' to each side of the equation. 55 + -55 + -9x = 28 + -55 Combine like terms: 55 + -55 = 0 0 + -9x = 28 + -55 -9x = 28 + -55 Combine like terms: 28 + -55 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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