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Simplifying 4x + 5x + -7x + 14 = 3(3x + -8) Reorder the terms: 14 + 4x + 5x + -7x = 3(3x + -8) Combine like terms: 4x + 5x = 9x 14 + 9x + -7x = 3(3x + -8) Combine like terms: 9x + -7x = 2x 14 + 2x = 3(3x + -8) Reorder the terms: 14 + 2x = 3(-8 + 3x) 14 + 2x = (-8 * 3 + 3x * 3) 14 + 2x = (-24 + 9x) Solving 14 + 2x = -24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + 2x + -9x = -24 + 9x + -9x Combine like terms: 2x + -9x = -7x 14 + -7x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -7x = -24 + 0 14 + -7x = -24 Add '-14' to each side of the equation. 14 + -14 + -7x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -24 + -14 -7x = -24 + -14 Combine like terms: -24 + -14 = -38 -7x = -38 Divide each side by '-7'. x = 5.428571429 Simplifying x = 5.428571429
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