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Simplifying 6(x + 7) + -8(x + 2) = 62 Reorder the terms: 6(7 + x) + -8(x + 2) = 62 (7 * 6 + x * 6) + -8(x + 2) = 62 (42 + 6x) + -8(x + 2) = 62 Reorder the terms: 42 + 6x + -8(2 + x) = 62 42 + 6x + (2 * -8 + x * -8) = 62 42 + 6x + (-16 + -8x) = 62 Reorder the terms: 42 + -16 + 6x + -8x = 62 Combine like terms: 42 + -16 = 26 26 + 6x + -8x = 62 Combine like terms: 6x + -8x = -2x 26 + -2x = 62 Solving 26 + -2x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -2x = 62 + -26 Combine like terms: 26 + -26 = 0 0 + -2x = 62 + -26 -2x = 62 + -26 Combine like terms: 62 + -26 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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