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Simplifying 5(2x + 4) + -14 = 3(4x + -1) Reorder the terms: 5(4 + 2x) + -14 = 3(4x + -1) (4 * 5 + 2x * 5) + -14 = 3(4x + -1) (20 + 10x) + -14 = 3(4x + -1) Reorder the terms: 20 + -14 + 10x = 3(4x + -1) Combine like terms: 20 + -14 = 6 6 + 10x = 3(4x + -1) Reorder the terms: 6 + 10x = 3(-1 + 4x) 6 + 10x = (-1 * 3 + 4x * 3) 6 + 10x = (-3 + 12x) Solving 6 + 10x = -3 + 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. 6 + 10x + -12x = -3 + 12x + -12x Combine like terms: 10x + -12x = -2x 6 + -2x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -2x = -3 + 0 6 + -2x = -3 Add '-6' to each side of the equation. 6 + -6 + -2x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -3 + -6 -2x = -3 + -6 Combine like terms: -3 + -6 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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