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Simplifying 22 + 4(4x + -4) = 10(2x + -1) Reorder the terms: 22 + 4(-4 + 4x) = 10(2x + -1) 22 + (-4 * 4 + 4x * 4) = 10(2x + -1) 22 + (-16 + 16x) = 10(2x + -1) Combine like terms: 22 + -16 = 6 6 + 16x = 10(2x + -1) Reorder the terms: 6 + 16x = 10(-1 + 2x) 6 + 16x = (-1 * 10 + 2x * 10) 6 + 16x = (-10 + 20x) Solving 6 + 16x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 16x + -20x = -10 + 20x + -20x Combine like terms: 16x + -20x = -4x 6 + -4x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -4x = -10 + 0 6 + -4x = -10 Add '-6' to each side of the equation. 6 + -6 + -4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -10 + -6 -4x = -10 + -6 Combine like terms: -10 + -6 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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