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Simplifying 5x + -2x + 3(x + -7) = 2(x + -1) + 7x + 6 Reorder the terms: 5x + -2x + 3(-7 + x) = 2(x + -1) + 7x + 6 5x + -2x + (-7 * 3 + x * 3) = 2(x + -1) + 7x + 6 5x + -2x + (-21 + 3x) = 2(x + -1) + 7x + 6 Reorder the terms: -21 + 5x + -2x + 3x = 2(x + -1) + 7x + 6 Combine like terms: 5x + -2x = 3x -21 + 3x + 3x = 2(x + -1) + 7x + 6 Combine like terms: 3x + 3x = 6x -21 + 6x = 2(x + -1) + 7x + 6 Reorder the terms: -21 + 6x = 2(-1 + x) + 7x + 6 -21 + 6x = (-1 * 2 + x * 2) + 7x + 6 -21 + 6x = (-2 + 2x) + 7x + 6 Reorder the terms: -21 + 6x = -2 + 6 + 2x + 7x Combine like terms: -2 + 6 = 4 -21 + 6x = 4 + 2x + 7x Combine like terms: 2x + 7x = 9x -21 + 6x = 4 + 9x Solving -21 + 6x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -21 + 6x + -9x = 4 + 9x + -9x Combine like terms: 6x + -9x = -3x -21 + -3x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -3x = 4 + 0 -21 + -3x = 4 Add '21' to each side of the equation. -21 + 21 + -3x = 4 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 4 + 21 -3x = 4 + 21 Combine like terms: 4 + 21 = 25 -3x = 25 Divide each side by '-3'. x = -8.333333333 Simplifying x = -8.333333333
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