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Simplifying 4x + 9 + -14x = 3(4x + -7) Reorder the terms: 9 + 4x + -14x = 3(4x + -7) Combine like terms: 4x + -14x = -10x 9 + -10x = 3(4x + -7) Reorder the terms: 9 + -10x = 3(-7 + 4x) 9 + -10x = (-7 * 3 + 4x * 3) 9 + -10x = (-21 + 12x) Solving 9 + -10x = -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. 9 + -10x + -12x = -21 + 12x + -12x Combine like terms: -10x + -12x = -22x 9 + -22x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -22x = -21 + 0 9 + -22x = -21 Add '-9' to each side of the equation. 9 + -9 + -22x = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -22x = -21 + -9 -22x = -21 + -9 Combine like terms: -21 + -9 = -30 -22x = -30 Divide each side by '-22'. x = 1.363636364 Simplifying x = 1.363636364
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