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Simplifying 6(x + -6) + -2(7x + 6) = -9(x + 8) + -4 Reorder the terms: 6(-6 + x) + -2(7x + 6) = -9(x + 8) + -4 (-6 * 6 + x * 6) + -2(7x + 6) = -9(x + 8) + -4 (-36 + 6x) + -2(7x + 6) = -9(x + 8) + -4 Reorder the terms: -36 + 6x + -2(6 + 7x) = -9(x + 8) + -4 -36 + 6x + (6 * -2 + 7x * -2) = -9(x + 8) + -4 -36 + 6x + (-12 + -14x) = -9(x + 8) + -4 Reorder the terms: -36 + -12 + 6x + -14x = -9(x + 8) + -4 Combine like terms: -36 + -12 = -48 -48 + 6x + -14x = -9(x + 8) + -4 Combine like terms: 6x + -14x = -8x -48 + -8x = -9(x + 8) + -4 Reorder the terms: -48 + -8x = -9(8 + x) + -4 -48 + -8x = (8 * -9 + x * -9) + -4 -48 + -8x = (-72 + -9x) + -4 Reorder the terms: -48 + -8x = -72 + -4 + -9x Combine like terms: -72 + -4 = -76 -48 + -8x = -76 + -9x Solving -48 + -8x = -76 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -48 + -8x + 9x = -76 + -9x + 9x Combine like terms: -8x + 9x = 1x -48 + 1x = -76 + -9x + 9x Combine like terms: -9x + 9x = 0 -48 + 1x = -76 + 0 -48 + 1x = -76 Add '48' to each side of the equation. -48 + 48 + 1x = -76 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -76 + 48 1x = -76 + 48 Combine like terms: -76 + 48 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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