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Simplifying 6 + -7(8x + 3) = -42x + 13 Reorder the terms: 6 + -7(3 + 8x) = -42x + 13 6 + (3 * -7 + 8x * -7) = -42x + 13 6 + (-21 + -56x) = -42x + 13 Combine like terms: 6 + -21 = -15 -15 + -56x = -42x + 13 Reorder the terms: -15 + -56x = 13 + -42x Solving -15 + -56x = 13 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -15 + -56x + 42x = 13 + -42x + 42x Combine like terms: -56x + 42x = -14x -15 + -14x = 13 + -42x + 42x Combine like terms: -42x + 42x = 0 -15 + -14x = 13 + 0 -15 + -14x = 13 Add '15' to each side of the equation. -15 + 15 + -14x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -14x = 13 + 15 -14x = 13 + 15 Combine like terms: 13 + 15 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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