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Simplifying 9(x + -3) + -3(5x + 3) = -7(x + 6) + -5 Reorder the terms: 9(-3 + x) + -3(5x + 3) = -7(x + 6) + -5 (-3 * 9 + x * 9) + -3(5x + 3) = -7(x + 6) + -5 (-27 + 9x) + -3(5x + 3) = -7(x + 6) + -5 Reorder the terms: -27 + 9x + -3(3 + 5x) = -7(x + 6) + -5 -27 + 9x + (3 * -3 + 5x * -3) = -7(x + 6) + -5 -27 + 9x + (-9 + -15x) = -7(x + 6) + -5 Reorder the terms: -27 + -9 + 9x + -15x = -7(x + 6) + -5 Combine like terms: -27 + -9 = -36 -36 + 9x + -15x = -7(x + 6) + -5 Combine like terms: 9x + -15x = -6x -36 + -6x = -7(x + 6) + -5 Reorder the terms: -36 + -6x = -7(6 + x) + -5 -36 + -6x = (6 * -7 + x * -7) + -5 -36 + -6x = (-42 + -7x) + -5 Reorder the terms: -36 + -6x = -42 + -5 + -7x Combine like terms: -42 + -5 = -47 -36 + -6x = -47 + -7x Solving -36 + -6x = -47 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -36 + -6x + 7x = -47 + -7x + 7x Combine like terms: -6x + 7x = 1x -36 + 1x = -47 + -7x + 7x Combine like terms: -7x + 7x = 0 -36 + 1x = -47 + 0 -36 + 1x = -47 Add '36' to each side of the equation. -36 + 36 + 1x = -47 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = -47 + 36 1x = -47 + 36 Combine like terms: -47 + 36 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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