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Simplifying -53 + 47 + -1(-8) + 7 = 23 + -1(-7) + x Multiply -1 * -8 -53 + 47 + 8 + 7 = 23 + -1(-7) + x Combine like terms: -53 + 47 = -6 -6 + 8 + 7 = 23 + -1(-7) + x Combine like terms: -6 + 8 = 2 2 + 7 = 23 + -1(-7) + x Combine like terms: 2 + 7 = 9 9 = 23 + -1(-7) + x Multiply -1 * -7 9 = 23 + 7 + x Combine like terms: 23 + 7 = 30 9 = 30 + x Solving 9 = 30 + 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. 9 + -1x = 30 + x + -1x Combine like terms: x + -1x = 0 9 + -1x = 30 + 0 9 + -1x = 30 Add '-9' to each side of the equation. 9 + -9 + -1x = 30 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 30 + -9 -1x = 30 + -9 Combine like terms: 30 + -9 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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