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