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Simplifying -14 + 3(1x + 10) = 7(2x + 4) + 1x Reorder the terms: -14 + 3(10 + 1x) = 7(2x + 4) + 1x -14 + (10 * 3 + 1x * 3) = 7(2x + 4) + 1x -14 + (30 + 3x) = 7(2x + 4) + 1x Combine like terms: -14 + 30 = 16 16 + 3x = 7(2x + 4) + 1x Reorder the terms: 16 + 3x = 7(4 + 2x) + 1x 16 + 3x = (4 * 7 + 2x * 7) + 1x 16 + 3x = (28 + 14x) + 1x Combine like terms: 14x + 1x = 15x 16 + 3x = 28 + 15x Solving 16 + 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. 16 + 3x + -15x = 28 + 15x + -15x Combine like terms: 3x + -15x = -12x 16 + -12x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + -12x = 28 + 0 16 + -12x = 28 Add '-16' to each side of the equation. 16 + -16 + -12x = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 28 + -16 -12x = 28 + -16 Combine like terms: 28 + -16 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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