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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 = -78 -78 + 15x + -7x = 4x Combine like terms: 15x + -7x = 8x -78 + 8x = 4x Solving -78 + 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. -78 + 8x + -4x = 4x + -4x Combine like terms: 8x + -4x = 4x -78 + 4x = 4x + -4x Combine like terms: 4x + -4x = 0 -78 + 4x = 0 Add '78' to each side of the equation. -78 + 78 + 4x = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 4x = 0 + 78 4x = 0 + 78 Combine like terms: 0 + 78 = 78 4x = 78 Divide each side by '4'. x = 19.5 Simplifying x = 19.5
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