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Simplifying 5(8 + -4x + -4x) + 4(9x + 2) = 12 Combine like terms: -4x + -4x = -8x 5(8 + -8x) + 4(9x + 2) = 12 (8 * 5 + -8x * 5) + 4(9x + 2) = 12 (40 + -40x) + 4(9x + 2) = 12 Reorder the terms: 40 + -40x + 4(2 + 9x) = 12 40 + -40x + (2 * 4 + 9x * 4) = 12 40 + -40x + (8 + 36x) = 12 Reorder the terms: 40 + 8 + -40x + 36x = 12 Combine like terms: 40 + 8 = 48 48 + -40x + 36x = 12 Combine like terms: -40x + 36x = -4x 48 + -4x = 12 Solving 48 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -4x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -4x = 12 + -48 -4x = 12 + -48 Combine like terms: 12 + -48 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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