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Simplifying 22 + -2(4 + -1x) = (7 + -3x)(-10) 22 + (4 * -2 + -1x * -2) = (7 + -3x)(-10) 22 + (-8 + 2x) = (7 + -3x)(-10) Combine like terms: 22 + -8 = 14 14 + 2x = (7 + -3x)(-10) Reorder the terms for easier multiplication: 14 + 2x = -10(7 + -3x) 14 + 2x = (7 * -10 + -3x * -10) 14 + 2x = (-70 + 30x) Solving 14 + 2x = -70 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 14 + 2x + -30x = -70 + 30x + -30x Combine like terms: 2x + -30x = -28x 14 + -28x = -70 + 30x + -30x Combine like terms: 30x + -30x = 0 14 + -28x = -70 + 0 14 + -28x = -70 Add '-14' to each side of the equation. 14 + -14 + -28x = -70 + -14 Combine like terms: 14 + -14 = 0 0 + -28x = -70 + -14 -28x = -70 + -14 Combine like terms: -70 + -14 = -84 -28x = -84 Divide each side by '-28'. x = 3 Simplifying x = 3
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