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Simplifying 4(x + 5) + 4(x + -3) = 40 Reorder the terms: 4(5 + x) + 4(x + -3) = 40 (5 * 4 + x * 4) + 4(x + -3) = 40 (20 + 4x) + 4(x + -3) = 40 Reorder the terms: 20 + 4x + 4(-3 + x) = 40 20 + 4x + (-3 * 4 + x * 4) = 40 20 + 4x + (-12 + 4x) = 40 Reorder the terms: 20 + -12 + 4x + 4x = 40 Combine like terms: 20 + -12 = 8 8 + 4x + 4x = 40 Combine like terms: 4x + 4x = 8x 8 + 8x = 40 Solving 8 + 8x = 40 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 + 8x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 40 + -8 8x = 40 + -8 Combine like terms: 40 + -8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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