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Simplifying 62 + -1(5x + 14) = 5(x + 3) + x Reorder the terms: 62 + -1(14 + 5x) = 5(x + 3) + x 62 + (14 * -1 + 5x * -1) = 5(x + 3) + x 62 + (-14 + -5x) = 5(x + 3) + x Combine like terms: 62 + -14 = 48 48 + -5x = 5(x + 3) + x Reorder the terms: 48 + -5x = 5(3 + x) + x 48 + -5x = (3 * 5 + x * 5) + x 48 + -5x = (15 + 5x) + x Combine like terms: 5x + x = 6x 48 + -5x = 15 + 6x Solving 48 + -5x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + -5x + -6x = 15 + 6x + -6x Combine like terms: -5x + -6x = -11x 48 + -11x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + -11x = 15 + 0 48 + -11x = 15 Add '-48' to each side of the equation. 48 + -48 + -11x = 15 + -48 Combine like terms: 48 + -48 = 0 0 + -11x = 15 + -48 -11x = 15 + -48 Combine like terms: 15 + -48 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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