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Simplifying 7(x + -2) = -3(x + 4) + 26 Reorder the terms: 7(-2 + x) = -3(x + 4) + 26 (-2 * 7 + x * 7) = -3(x + 4) + 26 (-14 + 7x) = -3(x + 4) + 26 Reorder the terms: -14 + 7x = -3(4 + x) + 26 -14 + 7x = (4 * -3 + x * -3) + 26 -14 + 7x = (-12 + -3x) + 26 Reorder the terms: -14 + 7x = -12 + 26 + -3x Combine like terms: -12 + 26 = 14 -14 + 7x = 14 + -3x Solving -14 + 7x = 14 + -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. -14 + 7x + 3x = 14 + -3x + 3x Combine like terms: 7x + 3x = 10x -14 + 10x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 10x = 14 + 0 -14 + 10x = 14 Add '14' to each side of the equation. -14 + 14 + 10x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 14 + 14 10x = 14 + 14 Combine like terms: 14 + 14 = 28 10x = 28 Divide each side by '10'. x = 2.8 Simplifying x = 2.8
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