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Simplifying -63 = 7x + -6(x + 9) Reorder the terms: -63 = 7x + -6(9 + x) -63 = 7x + (9 * -6 + x * -6) -63 = 7x + (-54 + -6x) Reorder the terms: -63 = -54 + 7x + -6x Combine like terms: 7x + -6x = 1x -63 = -54 + 1x Solving -63 = -54 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -63 + -1x = -54 + 1x + -1x Combine like terms: 1x + -1x = 0 -63 + -1x = -54 + 0 -63 + -1x = -54 Add '63' to each side of the equation. -63 + 63 + -1x = -54 + 63 Combine like terms: -63 + 63 = 0 0 + -1x = -54 + 63 -1x = -54 + 63 Combine like terms: -54 + 63 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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