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Simplifying -4 * 8 + 63 = 7x + -2 * 7 + -6x Multiply -4 * 8 -32 + 63 = 7x + -2 * 7 + -6x Combine like terms: -32 + 63 = 31 31 = 7x + -2 * 7 + -6x Multiply -2 * 7 31 = 7x + -14 + -6x Reorder the terms: 31 = -14 + 7x + -6x Combine like terms: 7x + -6x = 1x 31 = -14 + 1x Solving 31 = -14 + 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. 31 + -1x = -14 + 1x + -1x Combine like terms: 1x + -1x = 0 31 + -1x = -14 + 0 31 + -1x = -14 Add '-31' to each side of the equation. 31 + -31 + -1x = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = -14 + -31 -1x = -14 + -31 Combine like terms: -14 + -31 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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