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Simplifying 6(x + 6) + 2 = -8(x + -4) + -1 Reorder the terms: 6(6 + x) + 2 = -8(x + -4) + -1 (6 * 6 + x * 6) + 2 = -8(x + -4) + -1 (36 + 6x) + 2 = -8(x + -4) + -1 Reorder the terms: 36 + 2 + 6x = -8(x + -4) + -1 Combine like terms: 36 + 2 = 38 38 + 6x = -8(x + -4) + -1 Reorder the terms: 38 + 6x = -8(-4 + x) + -1 38 + 6x = (-4 * -8 + x * -8) + -1 38 + 6x = (32 + -8x) + -1 Reorder the terms: 38 + 6x = 32 + -1 + -8x Combine like terms: 32 + -1 = 31 38 + 6x = 31 + -8x Solving 38 + 6x = 31 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 38 + 6x + 8x = 31 + -8x + 8x Combine like terms: 6x + 8x = 14x 38 + 14x = 31 + -8x + 8x Combine like terms: -8x + 8x = 0 38 + 14x = 31 + 0 38 + 14x = 31 Add '-38' to each side of the equation. 38 + -38 + 14x = 31 + -38 Combine like terms: 38 + -38 = 0 0 + 14x = 31 + -38 14x = 31 + -38 Combine like terms: 31 + -38 = -7 14x = -7 Divide each side by '14'. x = -0.5 Simplifying x = -0.5
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