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Simplifying 3(2x + -7) + 4x = 7(x + 2) Reorder the terms: 3(-7 + 2x) + 4x = 7(x + 2) (-7 * 3 + 2x * 3) + 4x = 7(x + 2) (-21 + 6x) + 4x = 7(x + 2) Combine like terms: 6x + 4x = 10x -21 + 10x = 7(x + 2) Reorder the terms: -21 + 10x = 7(2 + x) -21 + 10x = (2 * 7 + x * 7) -21 + 10x = (14 + 7x) Solving -21 + 10x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -21 + 10x + -7x = 14 + 7x + -7x Combine like terms: 10x + -7x = 3x -21 + 3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + 3x = 14 + 0 -21 + 3x = 14 Add '21' to each side of the equation. -21 + 21 + 3x = 14 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 14 + 21 3x = 14 + 21 Combine like terms: 14 + 21 = 35 3x = 35 Divide each side by '3'. x = 11.66666667 Simplifying x = 11.66666667
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