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Simplifying -7(x + 9) = 9(-4) + -15x Reorder the terms: -7(9 + x) = 9(-4) + -15x (9 * -7 + x * -7) = 9(-4) + -15x (-63 + -7x) = 9(-4) + -15x Multiply 9 * -4 -63 + -7x = -36 + -15x Solving -63 + -7x = -36 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -63 + -7x + 15x = -36 + -15x + 15x Combine like terms: -7x + 15x = 8x -63 + 8x = -36 + -15x + 15x Combine like terms: -15x + 15x = 0 -63 + 8x = -36 + 0 -63 + 8x = -36 Add '63' to each side of the equation. -63 + 63 + 8x = -36 + 63 Combine like terms: -63 + 63 = 0 0 + 8x = -36 + 63 8x = -36 + 63 Combine like terms: -36 + 63 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375
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