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Simplifying 100 + -1(4x + -22) = 2x + 112 Reorder the terms: 100 + -1(-22 + 4x) = 2x + 112 100 + (-22 * -1 + 4x * -1) = 2x + 112 100 + (22 + -4x) = 2x + 112 Combine like terms: 100 + 22 = 122 122 + -4x = 2x + 112 Reorder the terms: 122 + -4x = 112 + 2x Solving 122 + -4x = 112 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 122 + -4x + -2x = 112 + 2x + -2x Combine like terms: -4x + -2x = -6x 122 + -6x = 112 + 2x + -2x Combine like terms: 2x + -2x = 0 122 + -6x = 112 + 0 122 + -6x = 112 Add '-122' to each side of the equation. 122 + -122 + -6x = 112 + -122 Combine like terms: 122 + -122 = 0 0 + -6x = 112 + -122 -6x = 112 + -122 Combine like terms: 112 + -122 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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