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Simplifying 5x + 14 = 3(4x + -7) Reorder the terms: 14 + 5x = 3(4x + -7) Reorder the terms: 14 + 5x = 3(-7 + 4x) 14 + 5x = (-7 * 3 + 4x * 3) 14 + 5x = (-21 + 12x) Solving 14 + 5x = -21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + 5x + -12x = -21 + 12x + -12x Combine like terms: 5x + -12x = -7x 14 + -7x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -7x = -21 + 0 14 + -7x = -21 Add '-14' to each side of the equation. 14 + -14 + -7x = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -21 + -14 -7x = -21 + -14 Combine like terms: -21 + -14 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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