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Simplifying 8(x + 5) + 6(x + -2) = 42 Reorder the terms: 8(5 + x) + 6(x + -2) = 42 (5 * 8 + x * 8) + 6(x + -2) = 42 (40 + 8x) + 6(x + -2) = 42 Reorder the terms: 40 + 8x + 6(-2 + x) = 42 40 + 8x + (-2 * 6 + x * 6) = 42 40 + 8x + (-12 + 6x) = 42 Reorder the terms: 40 + -12 + 8x + 6x = 42 Combine like terms: 40 + -12 = 28 28 + 8x + 6x = 42 Combine like terms: 8x + 6x = 14x 28 + 14x = 42 Solving 28 + 14x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 14x = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 14x = 42 + -28 14x = 42 + -28 Combine like terms: 42 + -28 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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