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Simplifying 2(3x + 9) + 10 = -7(2x + -8) + -7 Reorder the terms: 2(9 + 3x) + 10 = -7(2x + -8) + -7 (9 * 2 + 3x * 2) + 10 = -7(2x + -8) + -7 (18 + 6x) + 10 = -7(2x + -8) + -7 Reorder the terms: 18 + 10 + 6x = -7(2x + -8) + -7 Combine like terms: 18 + 10 = 28 28 + 6x = -7(2x + -8) + -7 Reorder the terms: 28 + 6x = -7(-8 + 2x) + -7 28 + 6x = (-8 * -7 + 2x * -7) + -7 28 + 6x = (56 + -14x) + -7 Reorder the terms: 28 + 6x = 56 + -7 + -14x Combine like terms: 56 + -7 = 49 28 + 6x = 49 + -14x Solving 28 + 6x = 49 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 28 + 6x + 14x = 49 + -14x + 14x Combine like terms: 6x + 14x = 20x 28 + 20x = 49 + -14x + 14x Combine like terms: -14x + 14x = 0 28 + 20x = 49 + 0 28 + 20x = 49 Add '-28' to each side of the equation. 28 + -28 + 20x = 49 + -28 Combine like terms: 28 + -28 = 0 0 + 20x = 49 + -28 20x = 49 + -28 Combine like terms: 49 + -28 = 21 20x = 21 Divide each side by '20'. x = 1.05 Simplifying x = 1.05
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