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Simplifying 7(x + 8) + 2 = -7(x + -8) + -2 Reorder the terms: 7(8 + x) + 2 = -7(x + -8) + -2 (8 * 7 + x * 7) + 2 = -7(x + -8) + -2 (56 + 7x) + 2 = -7(x + -8) + -2 Reorder the terms: 56 + 2 + 7x = -7(x + -8) + -2 Combine like terms: 56 + 2 = 58 58 + 7x = -7(x + -8) + -2 Reorder the terms: 58 + 7x = -7(-8 + x) + -2 58 + 7x = (-8 * -7 + x * -7) + -2 58 + 7x = (56 + -7x) + -2 Reorder the terms: 58 + 7x = 56 + -2 + -7x Combine like terms: 56 + -2 = 54 58 + 7x = 54 + -7x Solving 58 + 7x = 54 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 58 + 7x + 7x = 54 + -7x + 7x Combine like terms: 7x + 7x = 14x 58 + 14x = 54 + -7x + 7x Combine like terms: -7x + 7x = 0 58 + 14x = 54 + 0 58 + 14x = 54 Add '-58' to each side of the equation. 58 + -58 + 14x = 54 + -58 Combine like terms: 58 + -58 = 0 0 + 14x = 54 + -58 14x = 54 + -58 Combine like terms: 54 + -58 = -4 14x = -4 Divide each side by '14'. x = -0.2857142857 Simplifying x = -0.2857142857
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