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Simplifying 15(x + 1) + -7(x + 9) = 4x Reorder the terms: 15(1 + x) + -7(x + 9) = 4x (1 * 15 + x * 15) + -7(x + 9) = 4x (15 + 15x) + -7(x + 9) = 4x Reorder the terms: 15 + 15x + -7(9 + x) = 4x 15 + 15x + (9 * -7 + x * -7) = 4x 15 + 15x + (-63 + -7x) = 4x Reorder the terms: 15 + -63 + 15x + -7x = 4x Combine like terms: 15 + -63 = -48 -48 + 15x + -7x = 4x Combine like terms: 15x + -7x = 8x -48 + 8x = 4x Solving -48 + 8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -48 + 8x + -4x = 4x + -4x Combine like terms: 8x + -4x = 4x -48 + 4x = 4x + -4x Combine like terms: 4x + -4x = 0 -48 + 4x = 0 Add '48' to each side of the equation. -48 + 48 + 4x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 4x = 0 + 48 4x = 0 + 48 Combine like terms: 0 + 48 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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