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Simplifying 1 + 3(4 + x) = 2(4x + 14) 1 + (4 * 3 + x * 3) = 2(4x + 14) 1 + (12 + 3x) = 2(4x + 14) Combine like terms: 1 + 12 = 13 13 + 3x = 2(4x + 14) Reorder the terms: 13 + 3x = 2(14 + 4x) 13 + 3x = (14 * 2 + 4x * 2) 13 + 3x = (28 + 8x) Solving 13 + 3x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 13 + 3x + -8x = 28 + 8x + -8x Combine like terms: 3x + -8x = -5x 13 + -5x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -5x = 28 + 0 13 + -5x = 28 Add '-13' to each side of the equation. 13 + -13 + -5x = 28 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 28 + -13 -5x = 28 + -13 Combine like terms: 28 + -13 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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