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Simplifying 94 + -1(6x + 7) = 6(x + 8) + x Reorder the terms: 94 + -1(7 + 6x) = 6(x + 8) + x 94 + (7 * -1 + 6x * -1) = 6(x + 8) + x 94 + (-7 + -6x) = 6(x + 8) + x Combine like terms: 94 + -7 = 87 87 + -6x = 6(x + 8) + x Reorder the terms: 87 + -6x = 6(8 + x) + x 87 + -6x = (8 * 6 + x * 6) + x 87 + -6x = (48 + 6x) + x Combine like terms: 6x + x = 7x 87 + -6x = 48 + 7x Solving 87 + -6x = 48 + 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. 87 + -6x + -7x = 48 + 7x + -7x Combine like terms: -6x + -7x = -13x 87 + -13x = 48 + 7x + -7x Combine like terms: 7x + -7x = 0 87 + -13x = 48 + 0 87 + -13x = 48 Add '-87' to each side of the equation. 87 + -87 + -13x = 48 + -87 Combine like terms: 87 + -87 = 0 0 + -13x = 48 + -87 -13x = 48 + -87 Combine like terms: 48 + -87 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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