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Simplifying 3(x + -5) + -4(2x + -4) = 2x + 22 Reorder the terms: 3(-5 + x) + -4(2x + -4) = 2x + 22 (-5 * 3 + x * 3) + -4(2x + -4) = 2x + 22 (-15 + 3x) + -4(2x + -4) = 2x + 22 Reorder the terms: -15 + 3x + -4(-4 + 2x) = 2x + 22 -15 + 3x + (-4 * -4 + 2x * -4) = 2x + 22 -15 + 3x + (16 + -8x) = 2x + 22 Reorder the terms: -15 + 16 + 3x + -8x = 2x + 22 Combine like terms: -15 + 16 = 1 1 + 3x + -8x = 2x + 22 Combine like terms: 3x + -8x = -5x 1 + -5x = 2x + 22 Reorder the terms: 1 + -5x = 22 + 2x Solving 1 + -5x = 22 + 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. 1 + -5x + -2x = 22 + 2x + -2x Combine like terms: -5x + -2x = -7x 1 + -7x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -7x = 22 + 0 1 + -7x = 22 Add '-1' to each side of the equation. 1 + -1 + -7x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 22 + -1 -7x = 22 + -1 Combine like terms: 22 + -1 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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