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Simplifying 42 = -2(22 + -1x) + 3(x + -3) 42 = (22 * -2 + -1x * -2) + 3(x + -3) 42 = (-44 + 2x) + 3(x + -3) Reorder the terms: 42 = -44 + 2x + 3(-3 + x) 42 = -44 + 2x + (-3 * 3 + x * 3) 42 = -44 + 2x + (-9 + 3x) Reorder the terms: 42 = -44 + -9 + 2x + 3x Combine like terms: -44 + -9 = -53 42 = -53 + 2x + 3x Combine like terms: 2x + 3x = 5x 42 = -53 + 5x Solving 42 = -53 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + -5x = -53 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -5x = -53 + 0 42 + -5x = -53 Add '-42' to each side of the equation. 42 + -42 + -5x = -53 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = -53 + -42 -5x = -53 + -42 Combine like terms: -53 + -42 = -95 -5x = -95 Divide each side by '-5'. x = 19 Simplifying x = 19
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