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Simplifying x + -35 = 8(2x + 3) + -14 Reorder the terms: -35 + x = 8(2x + 3) + -14 Reorder the terms: -35 + x = 8(3 + 2x) + -14 -35 + x = (3 * 8 + 2x * 8) + -14 -35 + x = (24 + 16x) + -14 Reorder the terms: -35 + x = 24 + -14 + 16x Combine like terms: 24 + -14 = 10 -35 + x = 10 + 16x Solving -35 + x = 10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -35 + x + -16x = 10 + 16x + -16x Combine like terms: x + -16x = -15x -35 + -15x = 10 + 16x + -16x Combine like terms: 16x + -16x = 0 -35 + -15x = 10 + 0 -35 + -15x = 10 Add '35' to each side of the equation. -35 + 35 + -15x = 10 + 35 Combine like terms: -35 + 35 = 0 0 + -15x = 10 + 35 -15x = 10 + 35 Combine like terms: 10 + 35 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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