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Simplifying -14 + 3(x + 10) = 7(2x + 5) + x Reorder the terms: -14 + 3(10 + x) = 7(2x + 5) + x -14 + (10 * 3 + x * 3) = 7(2x + 5) + x -14 + (30 + 3x) = 7(2x + 5) + x Combine like terms: -14 + 30 = 16 16 + 3x = 7(2x + 5) + x Reorder the terms: 16 + 3x = 7(5 + 2x) + x 16 + 3x = (5 * 7 + 2x * 7) + x 16 + 3x = (35 + 14x) + x Combine like terms: 14x + x = 15x 16 + 3x = 35 + 15x Solving 16 + 3x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 3x + -15x = 35 + 15x + -15x Combine like terms: 3x + -15x = -12x 16 + -12x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + -12x = 35 + 0 16 + -12x = 35 Add '-16' to each side of the equation. 16 + -16 + -12x = 35 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 35 + -16 -12x = 35 + -16 Combine like terms: 35 + -16 = 19 -12x = 19 Divide each side by '-12'. x = -1.583333333 Simplifying x = -1.583333333
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