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Simplifying 5x + 3(2x + -7) = 2(4x + -1) Reorder the terms: 5x + 3(-7 + 2x) = 2(4x + -1) 5x + (-7 * 3 + 2x * 3) = 2(4x + -1) 5x + (-21 + 6x) = 2(4x + -1) Reorder the terms: -21 + 5x + 6x = 2(4x + -1) Combine like terms: 5x + 6x = 11x -21 + 11x = 2(4x + -1) Reorder the terms: -21 + 11x = 2(-1 + 4x) -21 + 11x = (-1 * 2 + 4x * 2) -21 + 11x = (-2 + 8x) Solving -21 + 11x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 11x + -8x = -2 + 8x + -8x Combine like terms: 11x + -8x = 3x -21 + 3x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 3x = -2 + 0 -21 + 3x = -2 Add '21' to each side of the equation. -21 + 21 + 3x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = -2 + 21 3x = -2 + 21 Combine like terms: -2 + 21 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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