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Simplifying 3 + -1(3x + -4) = 2(x + -5) + 22 Reorder the terms: 3 + -1(-4 + 3x) = 2(x + -5) + 22 3 + (-4 * -1 + 3x * -1) = 2(x + -5) + 22 3 + (4 + -3x) = 2(x + -5) + 22 Combine like terms: 3 + 4 = 7 7 + -3x = 2(x + -5) + 22 Reorder the terms: 7 + -3x = 2(-5 + x) + 22 7 + -3x = (-5 * 2 + x * 2) + 22 7 + -3x = (-10 + 2x) + 22 Reorder the terms: 7 + -3x = -10 + 22 + 2x Combine like terms: -10 + 22 = 12 7 + -3x = 12 + 2x Solving 7 + -3x = 12 + 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. 7 + -3x + -2x = 12 + 2x + -2x Combine like terms: -3x + -2x = -5x 7 + -5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -5x = 12 + 0 7 + -5x = 12 Add '-7' to each side of the equation. 7 + -7 + -5x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 12 + -7 -5x = 12 + -7 Combine like terms: 12 + -7 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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