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Simplifying 53 + -1(3x + 4) = 3(x + 7) + x Reorder the terms: 53 + -1(4 + 3x) = 3(x + 7) + x 53 + (4 * -1 + 3x * -1) = 3(x + 7) + x 53 + (-4 + -3x) = 3(x + 7) + x Combine like terms: 53 + -4 = 49 49 + -3x = 3(x + 7) + x Reorder the terms: 49 + -3x = 3(7 + x) + x 49 + -3x = (7 * 3 + x * 3) + x 49 + -3x = (21 + 3x) + x Combine like terms: 3x + x = 4x 49 + -3x = 21 + 4x Solving 49 + -3x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 49 + -3x + -4x = 21 + 4x + -4x Combine like terms: -3x + -4x = -7x 49 + -7x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 49 + -7x = 21 + 0 49 + -7x = 21 Add '-49' to each side of the equation. 49 + -49 + -7x = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -7x = 21 + -49 -7x = 21 + -49 Combine like terms: 21 + -49 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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