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Simplifying -63 = 13x + 7(-3x + -1) Reorder the terms: -63 = 13x + 7(-1 + -3x) -63 = 13x + (-1 * 7 + -3x * 7) -63 = 13x + (-7 + -21x) Reorder the terms: -63 = -7 + 13x + -21x Combine like terms: 13x + -21x = -8x -63 = -7 + -8x Solving -63 = -7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -63 + 8x = -7 + -8x + 8x Combine like terms: -8x + 8x = 0 -63 + 8x = -7 + 0 -63 + 8x = -7 Add '63' to each side of the equation. -63 + 63 + 8x = -7 + 63 Combine like terms: -63 + 63 = 0 0 + 8x = -7 + 63 8x = -7 + 63 Combine like terms: -7 + 63 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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