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Simplifying 3(5x + 4) + -2(8 + 9x) = 5 Reorder the terms: 3(4 + 5x) + -2(8 + 9x) = 5 (4 * 3 + 5x * 3) + -2(8 + 9x) = 5 (12 + 15x) + -2(8 + 9x) = 5 12 + 15x + (8 * -2 + 9x * -2) = 5 12 + 15x + (-16 + -18x) = 5 Reorder the terms: 12 + -16 + 15x + -18x = 5 Combine like terms: 12 + -16 = -4 -4 + 15x + -18x = 5 Combine like terms: 15x + -18x = -3x -4 + -3x = 5 Solving -4 + -3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 5 + 4 -3x = 5 + 4 Combine like terms: 5 + 4 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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