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Simplifying 15(x + 1) + -7(x + 9) = 5x Reorder the terms: 15(1 + x) + -7(x + 9) = 5x (1 * 15 + x * 15) + -7(x + 9) = 5x (15 + 15x) + -7(x + 9) = 5x Reorder the terms: 15 + 15x + -7(9 + x) = 5x 15 + 15x + (9 * -7 + x * -7) = 5x 15 + 15x + (-63 + -7x) = 5x Reorder the terms: 15 + -63 + 15x + -7x = 5x Combine like terms: 15 + -63 = -48 -48 + 15x + -7x = 5x Combine like terms: 15x + -7x = 8x -48 + 8x = 5x Solving -48 + 8x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x -48 + 3x = 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 3x = 0 Add '48' to each side of the equation. -48 + 48 + 3x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 3x = 0 + 48 3x = 0 + 48 Combine like terms: 0 + 48 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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