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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 = 68 -48 + -8x = 68 + 9x Solving -48 + -8x = 68 + 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 = 68 + 9x + -9x Combine like terms: -8x + -9x = -17x -48 + -17x = 68 + 9x + -9x Combine like terms: 9x + -9x = 0 -48 + -17x = 68 + 0 -48 + -17x = 68 Add '48' to each side of the equation. -48 + 48 + -17x = 68 + 48 Combine like terms: -48 + 48 = 0 0 + -17x = 68 + 48 -17x = 68 + 48 Combine like terms: 68 + 48 = 116 -17x = 116 Divide each side by '-17'. x = -6.823529412 Simplifying x = -6.823529412
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