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Simplifying 8(x + 7) + -1(6 + -6x) = 13x Reorder the terms: 8(7 + x) + -1(6 + -6x) = 13x (7 * 8 + x * 8) + -1(6 + -6x) = 13x (56 + 8x) + -1(6 + -6x) = 13x 56 + 8x + (6 * -1 + -6x * -1) = 13x 56 + 8x + (-6 + 6x) = 13x Reorder the terms: 56 + -6 + 8x + 6x = 13x Combine like terms: 56 + -6 = 50 50 + 8x + 6x = 13x Combine like terms: 8x + 6x = 14x 50 + 14x = 13x Solving 50 + 14x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 50 + 14x + -13x = 13x + -13x Combine like terms: 14x + -13x = 1x 50 + 1x = 13x + -13x Combine like terms: 13x + -13x = 0 50 + 1x = 0 Add '-50' to each side of the equation. 50 + -50 + 1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 1x = 0 + -50 1x = 0 + -50 Combine like terms: 0 + -50 = -50 1x = -50 Divide each side by '1'. x = -50 Simplifying x = -50
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