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Simplifying 30 + -1(x + 7) = (x + 7) + 10 Reorder the terms: 30 + -1(7 + x) = (x + 7) + 10 30 + (7 * -1 + x * -1) = (x + 7) + 10 30 + (-7 + -1x) = (x + 7) + 10 Combine like terms: 30 + -7 = 23 23 + -1x = (x + 7) + 10 Reorder the terms: 23 + -1x = (7 + x) + 10 Remove parenthesis around (7 + x) 23 + -1x = 7 + x + 10 Reorder the terms: 23 + -1x = 7 + 10 + x Combine like terms: 7 + 10 = 17 23 + -1x = 17 + x Solving 23 + -1x = 17 + 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. 23 + -1x + -1x = 17 + x + -1x Combine like terms: -1x + -1x = -2x 23 + -2x = 17 + x + -1x Combine like terms: x + -1x = 0 23 + -2x = 17 + 0 23 + -2x = 17 Add '-23' to each side of the equation. 23 + -23 + -2x = 17 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 17 + -23 -2x = 17 + -23 Combine like terms: 17 + -23 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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