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Simplifying 34 = 6(1[x + 5] * 1) + -8x Reorder the terms: 34 = 6(1[5 + x] * 1) + -8x Reorder the terms for easier multiplication: 34 = 6(1 * 1[5 + x]) + -8x Multiply 1 * 1 34 = 6(1[5 + x]) + -8x 34 = 6([5 * 1 + x * 1]) + -8x 34 = 6([5 + 1x]) + -8x 34 = (5 * 6 + 1x * 6) + -8x 34 = (30 + 6x) + -8x Combine like terms: 6x + -8x = -2x 34 = 30 + -2x Solving 34 = 30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + 2x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + 2x = 30 + 0 34 + 2x = 30 Add '-34' to each side of the equation. 34 + -34 + 2x = 30 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 30 + -34 2x = 30 + -34 Combine like terms: 30 + -34 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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