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Simplifying 8 + 7(2x + -6) = 13x + -10 Reorder the terms: 8 + 7(-6 + 2x) = 13x + -10 8 + (-6 * 7 + 2x * 7) = 13x + -10 8 + (-42 + 14x) = 13x + -10 Combine like terms: 8 + -42 = -34 -34 + 14x = 13x + -10 Reorder the terms: -34 + 14x = -10 + 13x Solving -34 + 14x = -10 + 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. -34 + 14x + -13x = -10 + 13x + -13x Combine like terms: 14x + -13x = 1x -34 + 1x = -10 + 13x + -13x Combine like terms: 13x + -13x = 0 -34 + 1x = -10 + 0 -34 + 1x = -10 Add '34' to each side of the equation. -34 + 34 + 1x = -10 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = -10 + 34 1x = -10 + 34 Combine like terms: -10 + 34 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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