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Simplifying 16x + 6(2x + -7) + -22 = 4(5x + -4) Reorder the terms: 16x + 6(-7 + 2x) + -22 = 4(5x + -4) 16x + (-7 * 6 + 2x * 6) + -22 = 4(5x + -4) 16x + (-42 + 12x) + -22 = 4(5x + -4) Reorder the terms: -42 + -22 + 16x + 12x = 4(5x + -4) Combine like terms: -42 + -22 = -64 -64 + 16x + 12x = 4(5x + -4) Combine like terms: 16x + 12x = 28x -64 + 28x = 4(5x + -4) Reorder the terms: -64 + 28x = 4(-4 + 5x) -64 + 28x = (-4 * 4 + 5x * 4) -64 + 28x = (-16 + 20x) Solving -64 + 28x = -16 + 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. -64 + 28x + -20x = -16 + 20x + -20x Combine like terms: 28x + -20x = 8x -64 + 8x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 -64 + 8x = -16 + 0 -64 + 8x = -16 Add '64' to each side of the equation. -64 + 64 + 8x = -16 + 64 Combine like terms: -64 + 64 = 0 0 + 8x = -16 + 64 8x = -16 + 64 Combine like terms: -16 + 64 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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