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Simplifying 6(x + 8) + 4 = -9(x + -3) + -9 Reorder the terms: 6(8 + x) + 4 = -9(x + -3) + -9 (8 * 6 + x * 6) + 4 = -9(x + -3) + -9 (48 + 6x) + 4 = -9(x + -3) + -9 Reorder the terms: 48 + 4 + 6x = -9(x + -3) + -9 Combine like terms: 48 + 4 = 52 52 + 6x = -9(x + -3) + -9 Reorder the terms: 52 + 6x = -9(-3 + x) + -9 52 + 6x = (-3 * -9 + x * -9) + -9 52 + 6x = (27 + -9x) + -9 Reorder the terms: 52 + 6x = 27 + -9 + -9x Combine like terms: 27 + -9 = 18 52 + 6x = 18 + -9x Solving 52 + 6x = 18 + -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. 52 + 6x + 9x = 18 + -9x + 9x Combine like terms: 6x + 9x = 15x 52 + 15x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 52 + 15x = 18 + 0 52 + 15x = 18 Add '-52' to each side of the equation. 52 + -52 + 15x = 18 + -52 Combine like terms: 52 + -52 = 0 0 + 15x = 18 + -52 15x = 18 + -52 Combine like terms: 18 + -52 = -34 15x = -34 Divide each side by '15'. x = -2.266666667 Simplifying x = -2.266666667
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