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Simplifying 3(x + -4) + 10 = -7x + 22 Reorder the terms: 3(-4 + x) + 10 = -7x + 22 (-4 * 3 + x * 3) + 10 = -7x + 22 (-12 + 3x) + 10 = -7x + 22 Reorder the terms: -12 + 10 + 3x = -7x + 22 Combine like terms: -12 + 10 = -2 -2 + 3x = -7x + 22 Reorder the terms: -2 + 3x = 22 + -7x Solving -2 + 3x = 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. -2 + 3x + 7x = 22 + -7x + 7x Combine like terms: 3x + 7x = 10x -2 + 10x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 10x = 22 + 0 -2 + 10x = 22 Add '2' to each side of the equation. -2 + 2 + 10x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 22 + 2 10x = 22 + 2 Combine like terms: 22 + 2 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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