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Simplifying 7x + -63 = x + 45 Reorder the terms: -63 + 7x = x + 45 Reorder the terms: -63 + 7x = 45 + x Solving -63 + 7x = 45 + x 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 + 7x + -1x = 45 + x + -1x Combine like terms: 7x + -1x = 6x -63 + 6x = 45 + x + -1x Combine like terms: x + -1x = 0 -63 + 6x = 45 + 0 -63 + 6x = 45 Add '63' to each side of the equation. -63 + 63 + 6x = 45 + 63 Combine like terms: -63 + 63 = 0 0 + 6x = 45 + 63 6x = 45 + 63 Combine like terms: 45 + 63 = 108 6x = 108 Divide each side by '6'. x = 18 Simplifying x = 18
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