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Simplifying -7(3x + 4) = 17 + -6x Reorder the terms: -7(4 + 3x) = 17 + -6x (4 * -7 + 3x * -7) = 17 + -6x (-28 + -21x) = 17 + -6x Solving -28 + -21x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -28 + -21x + 6x = 17 + -6x + 6x Combine like terms: -21x + 6x = -15x -28 + -15x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + -15x = 17 + 0 -28 + -15x = 17 Add '28' to each side of the equation. -28 + 28 + -15x = 17 + 28 Combine like terms: -28 + 28 = 0 0 + -15x = 17 + 28 -15x = 17 + 28 Combine like terms: 17 + 28 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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