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Simplifying 7(x + -3) + 7(x + -2) + 7(x + -1) = 57 Reorder the terms: 7(-3 + x) + 7(x + -2) + 7(x + -1) = 57 (-3 * 7 + x * 7) + 7(x + -2) + 7(x + -1) = 57 (-21 + 7x) + 7(x + -2) + 7(x + -1) = 57 Reorder the terms: -21 + 7x + 7(-2 + x) + 7(x + -1) = 57 -21 + 7x + (-2 * 7 + x * 7) + 7(x + -1) = 57 -21 + 7x + (-14 + 7x) + 7(x + -1) = 57 Reorder the terms: -21 + 7x + -14 + 7x + 7(-1 + x) = 57 -21 + 7x + -14 + 7x + (-1 * 7 + x * 7) = 57 -21 + 7x + -14 + 7x + (-7 + 7x) = 57 Reorder the terms: -21 + -14 + -7 + 7x + 7x + 7x = 57 Combine like terms: -21 + -14 = -35 -35 + -7 + 7x + 7x + 7x = 57 Combine like terms: -35 + -7 = -42 -42 + 7x + 7x + 7x = 57 Combine like terms: 7x + 7x = 14x -42 + 14x + 7x = 57 Combine like terms: 14x + 7x = 21x -42 + 21x = 57 Solving -42 + 21x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 21x = 57 + 42 Combine like terms: -42 + 42 = 0 0 + 21x = 57 + 42 21x = 57 + 42 Combine like terms: 57 + 42 = 99 21x = 99 Divide each side by '21'. x = 4.714285714 Simplifying x = 4.714285714
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