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Simplifying 4(5 + x) + -6(2 + x) = 4 (5 * 4 + x * 4) + -6(2 + x) = 4 (20 + 4x) + -6(2 + x) = 4 20 + 4x + (2 * -6 + x * -6) = 4 20 + 4x + (-12 + -6x) = 4 Reorder the terms: 20 + -12 + 4x + -6x = 4 Combine like terms: 20 + -12 = 8 8 + 4x + -6x = 4 Combine like terms: 4x + -6x = -2x 8 + -2x = 4 Solving 8 + -2x = 4 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 + -2x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 4 + -8 -2x = 4 + -8 Combine like terms: 4 + -8 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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