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Simplifying 8(x + 8) + 2 = -6(x + -4) + -11 Reorder the terms: 8(8 + x) + 2 = -6(x + -4) + -11 (8 * 8 + x * 8) + 2 = -6(x + -4) + -11 (64 + 8x) + 2 = -6(x + -4) + -11 Reorder the terms: 64 + 2 + 8x = -6(x + -4) + -11 Combine like terms: 64 + 2 = 66 66 + 8x = -6(x + -4) + -11 Reorder the terms: 66 + 8x = -6(-4 + x) + -11 66 + 8x = (-4 * -6 + x * -6) + -11 66 + 8x = (24 + -6x) + -11 Reorder the terms: 66 + 8x = 24 + -11 + -6x Combine like terms: 24 + -11 = 13 66 + 8x = 13 + -6x Solving 66 + 8x = 13 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 66 + 8x + 6x = 13 + -6x + 6x Combine like terms: 8x + 6x = 14x 66 + 14x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 66 + 14x = 13 + 0 66 + 14x = 13 Add '-66' to each side of the equation. 66 + -66 + 14x = 13 + -66 Combine like terms: 66 + -66 = 0 0 + 14x = 13 + -66 14x = 13 + -66 Combine like terms: 13 + -66 = -53 14x = -53 Divide each side by '14'. x = -3.785714286 Simplifying x = -3.785714286
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