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Simplifying 7(x + -2) = 4(x + -1) + 10 Reorder the terms: 7(-2 + x) = 4(x + -1) + 10 (-2 * 7 + x * 7) = 4(x + -1) + 10 (-14 + 7x) = 4(x + -1) + 10 Reorder the terms: -14 + 7x = 4(-1 + x) + 10 -14 + 7x = (-1 * 4 + x * 4) + 10 -14 + 7x = (-4 + 4x) + 10 Reorder the terms: -14 + 7x = -4 + 10 + 4x Combine like terms: -4 + 10 = 6 -14 + 7x = 6 + 4x Solving -14 + 7x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x -14 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 3x = 6 + 0 -14 + 3x = 6 Add '14' to each side of the equation. -14 + 14 + 3x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 6 + 14 3x = 6 + 14 Combine like terms: 6 + 14 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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