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Simplifying 62 + -1(3x + 14) = 3(x + 9) + x Reorder the terms: 62 + -1(14 + 3x) = 3(x + 9) + x 62 + (14 * -1 + 3x * -1) = 3(x + 9) + x 62 + (-14 + -3x) = 3(x + 9) + x Combine like terms: 62 + -14 = 48 48 + -3x = 3(x + 9) + x Reorder the terms: 48 + -3x = 3(9 + x) + x 48 + -3x = (9 * 3 + x * 3) + x 48 + -3x = (27 + 3x) + x Combine like terms: 3x + x = 4x 48 + -3x = 27 + 4x Solving 48 + -3x = 27 + 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. 48 + -3x + -4x = 27 + 4x + -4x Combine like terms: -3x + -4x = -7x 48 + -7x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + -7x = 27 + 0 48 + -7x = 27 Add '-48' to each side of the equation. 48 + -48 + -7x = 27 + -48 Combine like terms: 48 + -48 = 0 0 + -7x = 27 + -48 -7x = 27 + -48 Combine like terms: 27 + -48 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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