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Simplifying 2(x + -14) + 34 = x + 3x + 3(x + 4) Reorder the terms: 2(-14 + x) + 34 = x + 3x + 3(x + 4) (-14 * 2 + x * 2) + 34 = x + 3x + 3(x + 4) (-28 + 2x) + 34 = x + 3x + 3(x + 4) Reorder the terms: -28 + 34 + 2x = x + 3x + 3(x + 4) Combine like terms: -28 + 34 = 6 6 + 2x = x + 3x + 3(x + 4) Reorder the terms: 6 + 2x = x + 3x + 3(4 + x) 6 + 2x = x + 3x + (4 * 3 + x * 3) 6 + 2x = x + 3x + (12 + 3x) Reorder the terms: 6 + 2x = 12 + x + 3x + 3x Combine like terms: x + 3x = 4x 6 + 2x = 12 + 4x + 3x Combine like terms: 4x + 3x = 7x 6 + 2x = 12 + 7x Solving 6 + 2x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 2x + -7x = 12 + 7x + -7x Combine like terms: 2x + -7x = -5x 6 + -5x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -5x = 12 + 0 6 + -5x = 12 Add '-6' to each side of the equation. 6 + -6 + -5x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 12 + -6 -5x = 12 + -6 Combine like terms: 12 + -6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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