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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 = -32 -32 + 4x + 2x = 62 Combine like terms: 4x + 2x = 6x -32 + 6x = 62 Solving -32 + 6x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 6x = 62 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 62 + 32 6x = 62 + 32 Combine like terms: 62 + 32 = 94 6x = 94 Divide each side by '6'. x = 15.66666667 Simplifying x = 15.66666667
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