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Simplifying 4(x + 5) + 2(x + -6) = 62 Reorder the terms: 4(5 + x) + 2(x + -6) = 62 (5 * 4 + x * 4) + 2(x + -6) = 62 (20 + 4x) + 2(x + -6) = 62 Reorder the terms: 20 + 4x + 2(-6 + x) = 62 20 + 4x + (-6 * 2 + x * 2) = 62 20 + 4x + (-12 + 2x) = 62 Reorder the terms: 20 + -12 + 4x + 2x = 62 Combine like terms: 20 + -12 = 8 8 + 4x + 2x = 62 Combine like terms: 4x + 2x = 6x 8 + 6x = 62 Solving 8 + 6x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 62 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 62 + -8 6x = 62 + -8 Combine like terms: 62 + -8 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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