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Simplifying -14 + 3(x + 100) = 7(2x + 4) + x Reorder the terms: -14 + 3(100 + x) = 7(2x + 4) + x -14 + (100 * 3 + x * 3) = 7(2x + 4) + x -14 + (300 + 3x) = 7(2x + 4) + x Combine like terms: -14 + 300 = 286 286 + 3x = 7(2x + 4) + x Reorder the terms: 286 + 3x = 7(4 + 2x) + x 286 + 3x = (4 * 7 + 2x * 7) + x 286 + 3x = (28 + 14x) + x Combine like terms: 14x + x = 15x 286 + 3x = 28 + 15x Solving 286 + 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. 286 + 3x + -15x = 28 + 15x + -15x Combine like terms: 3x + -15x = -12x 286 + -12x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 286 + -12x = 28 + 0 286 + -12x = 28 Add '-286' to each side of the equation. 286 + -286 + -12x = 28 + -286 Combine like terms: 286 + -286 = 0 0 + -12x = 28 + -286 -12x = 28 + -286 Combine like terms: 28 + -286 = -258 -12x = -258 Divide each side by '-12'. x = 21.5 Simplifying x = 21.5
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