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Simplifying 8(x + 6) + 4 = -10(x + -2) + -9 Reorder the terms: 8(6 + x) + 4 = -10(x + -2) + -9 (6 * 8 + x * 8) + 4 = -10(x + -2) + -9 (48 + 8x) + 4 = -10(x + -2) + -9 Reorder the terms: 48 + 4 + 8x = -10(x + -2) + -9 Combine like terms: 48 + 4 = 52 52 + 8x = -10(x + -2) + -9 Reorder the terms: 52 + 8x = -10(-2 + x) + -9 52 + 8x = (-2 * -10 + x * -10) + -9 52 + 8x = (20 + -10x) + -9 Reorder the terms: 52 + 8x = 20 + -9 + -10x Combine like terms: 20 + -9 = 11 52 + 8x = 11 + -10x Solving 52 + 8x = 11 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 52 + 8x + 10x = 11 + -10x + 10x Combine like terms: 8x + 10x = 18x 52 + 18x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 52 + 18x = 11 + 0 52 + 18x = 11 Add '-52' to each side of the equation. 52 + -52 + 18x = 11 + -52 Combine like terms: 52 + -52 = 0 0 + 18x = 11 + -52 18x = 11 + -52 Combine like terms: 11 + -52 = -41 18x = -41 Divide each side by '18'. x = -2.277777778 Simplifying x = -2.277777778
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