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Simplifying 53 + -1(3x + 11) = 3(x + 7) + x Reorder the terms: 53 + -1(11 + 3x) = 3(x + 7) + x 53 + (11 * -1 + 3x * -1) = 3(x + 7) + x 53 + (-11 + -3x) = 3(x + 7) + x Combine like terms: 53 + -11 = 42 42 + -3x = 3(x + 7) + x Reorder the terms: 42 + -3x = 3(7 + x) + x 42 + -3x = (7 * 3 + x * 3) + x 42 + -3x = (21 + 3x) + x Combine like terms: 3x + x = 4x 42 + -3x = 21 + 4x Solving 42 + -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. 42 + -3x + -4x = 21 + 4x + -4x Combine like terms: -3x + -4x = -7x 42 + -7x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -7x = 21 + 0 42 + -7x = 21 Add '-42' to each side of the equation. 42 + -42 + -7x = 21 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 21 + -42 -7x = 21 + -42 Combine like terms: 21 + -42 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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