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Simplifying -14 + 3(x + 5) = 7(2x + 4) + x Reorder the terms: -14 + 3(5 + x) = 7(2x + 4) + x -14 + (5 * 3 + x * 3) = 7(2x + 4) + x -14 + (15 + 3x) = 7(2x + 4) + x Combine like terms: -14 + 15 = 1 1 + 3x = 7(2x + 4) + x Reorder the terms: 1 + 3x = 7(4 + 2x) + x 1 + 3x = (4 * 7 + 2x * 7) + x 1 + 3x = (28 + 14x) + x Combine like terms: 14x + x = 15x 1 + 3x = 28 + 15x Solving 1 + 3x = 28 + 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. 1 + 3x + -15x = 28 + 15x + -15x Combine like terms: 3x + -15x = -12x 1 + -12x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -12x = 28 + 0 1 + -12x = 28 Add '-1' to each side of the equation. 1 + -1 + -12x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 28 + -1 -12x = 28 + -1 Combine like terms: 28 + -1 = 27 -12x = 27 Divide each side by '-12'. x = -2.25 Simplifying x = -2.25
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