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Simplifying 3(5x + -4) + 2x = -22 + 7x Reorder the terms: 3(-4 + 5x) + 2x = -22 + 7x (-4 * 3 + 5x * 3) + 2x = -22 + 7x (-12 + 15x) + 2x = -22 + 7x Combine like terms: 15x + 2x = 17x -12 + 17x = -22 + 7x Solving -12 + 17x = -22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 17x + -7x = -22 + 7x + -7x Combine like terms: 17x + -7x = 10x -12 + 10x = -22 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 10x = -22 + 0 -12 + 10x = -22 Add '12' to each side of the equation. -12 + 12 + 10x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = -22 + 12 10x = -22 + 12 Combine like terms: -22 + 12 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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