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Simplifying 2x + 1(x + -22) = 3x + -4(x + -8) Reorder the terms: 2x + 1(-22 + x) = 3x + -4(x + -8) 2x + (-22 * 1 + x * 1) = 3x + -4(x + -8) 2x + (-22 + 1x) = 3x + -4(x + -8) Reorder the terms: -22 + 2x + 1x = 3x + -4(x + -8) Combine like terms: 2x + 1x = 3x -22 + 3x = 3x + -4(x + -8) Reorder the terms: -22 + 3x = 3x + -4(-8 + x) -22 + 3x = 3x + (-8 * -4 + x * -4) -22 + 3x = 3x + (32 + -4x) Reorder the terms: -22 + 3x = 32 + 3x + -4x Combine like terms: 3x + -4x = -1x -22 + 3x = 32 + -1x Solving -22 + 3x = 32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -22 + 3x + x = 32 + -1x + x Combine like terms: 3x + x = 4x -22 + 4x = 32 + -1x + x Combine like terms: -1x + x = 0 -22 + 4x = 32 + 0 -22 + 4x = 32 Add '22' to each side of the equation. -22 + 22 + 4x = 32 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = 32 + 22 4x = 32 + 22 Combine like terms: 32 + 22 = 54 4x = 54 Divide each side by '4'. x = 13.5 Simplifying x = 13.5
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