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Simplifying 7(x + -4) + 10 = 2 + -3x Reorder the terms: 7(-4 + x) + 10 = 2 + -3x (-4 * 7 + x * 7) + 10 = 2 + -3x (-28 + 7x) + 10 = 2 + -3x Reorder the terms: -28 + 10 + 7x = 2 + -3x Combine like terms: -28 + 10 = -18 -18 + 7x = 2 + -3x Solving -18 + 7x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + 7x + 3x = 2 + -3x + 3x Combine like terms: 7x + 3x = 10x -18 + 10x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 10x = 2 + 0 -18 + 10x = 2 Add '18' to each side of the equation. -18 + 18 + 10x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 2 + 18 10x = 2 + 18 Combine like terms: 2 + 18 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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