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Simplifying 6x + -14 = 7(3x + 8) Reorder the terms: -14 + 6x = 7(3x + 8) Reorder the terms: -14 + 6x = 7(8 + 3x) -14 + 6x = (8 * 7 + 3x * 7) -14 + 6x = (56 + 21x) Solving -14 + 6x = 56 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -14 + 6x + -21x = 56 + 21x + -21x Combine like terms: 6x + -21x = -15x -14 + -15x = 56 + 21x + -21x Combine like terms: 21x + -21x = 0 -14 + -15x = 56 + 0 -14 + -15x = 56 Add '14' to each side of the equation. -14 + 14 + -15x = 56 + 14 Combine like terms: -14 + 14 = 0 0 + -15x = 56 + 14 -15x = 56 + 14 Combine like terms: 56 + 14 = 70 -15x = 70 Divide each side by '-15'. x = -4.666666667 Simplifying x = -4.666666667
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