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Simplifying 100 + -2(x + 3) = -20 + x Reorder the terms: 100 + -2(3 + x) = -20 + x 100 + (3 * -2 + x * -2) = -20 + x 100 + (-6 + -2x) = -20 + x Combine like terms: 100 + -6 = 94 94 + -2x = -20 + x Solving 94 + -2x = -20 + 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. 94 + -2x + -1x = -20 + x + -1x Combine like terms: -2x + -1x = -3x 94 + -3x = -20 + x + -1x Combine like terms: x + -1x = 0 94 + -3x = -20 + 0 94 + -3x = -20 Add '-94' to each side of the equation. 94 + -94 + -3x = -20 + -94 Combine like terms: 94 + -94 = 0 0 + -3x = -20 + -94 -3x = -20 + -94 Combine like terms: -20 + -94 = -114 -3x = -114 Divide each side by '-3'. x = 38 Simplifying x = 38
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