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Simplifying 18x + 7(5x + -9) + 5(2x + 7) + 9 = 2x + 5 Reorder the terms: 18x + 7(-9 + 5x) + 5(2x + 7) + 9 = 2x + 5 18x + (-9 * 7 + 5x * 7) + 5(2x + 7) + 9 = 2x + 5 18x + (-63 + 35x) + 5(2x + 7) + 9 = 2x + 5 Reorder the terms: 18x + -63 + 35x + 5(7 + 2x) + 9 = 2x + 5 18x + -63 + 35x + (7 * 5 + 2x * 5) + 9 = 2x + 5 18x + -63 + 35x + (35 + 10x) + 9 = 2x + 5 Reorder the terms: -63 + 35 + 9 + 18x + 35x + 10x = 2x + 5 Combine like terms: -63 + 35 = -28 -28 + 9 + 18x + 35x + 10x = 2x + 5 Combine like terms: -28 + 9 = -19 -19 + 18x + 35x + 10x = 2x + 5 Combine like terms: 18x + 35x = 53x -19 + 53x + 10x = 2x + 5 Combine like terms: 53x + 10x = 63x -19 + 63x = 2x + 5 Reorder the terms: -19 + 63x = 5 + 2x Solving -19 + 63x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -19 + 63x + -2x = 5 + 2x + -2x Combine like terms: 63x + -2x = 61x -19 + 61x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 61x = 5 + 0 -19 + 61x = 5 Add '19' to each side of the equation. -19 + 19 + 61x = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 61x = 5 + 19 61x = 5 + 19 Combine like terms: 5 + 19 = 24 61x = 24 Divide each side by '61'. x = 0.393442623 Simplifying x = 0.393442623
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