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Simplifying 8x + 3(x + -7) = 3(x + 2) + -4 Reorder the terms: 8x + 3(-7 + x) = 3(x + 2) + -4 8x + (-7 * 3 + x * 3) = 3(x + 2) + -4 8x + (-21 + 3x) = 3(x + 2) + -4 Reorder the terms: -21 + 8x + 3x = 3(x + 2) + -4 Combine like terms: 8x + 3x = 11x -21 + 11x = 3(x + 2) + -4 Reorder the terms: -21 + 11x = 3(2 + x) + -4 -21 + 11x = (2 * 3 + x * 3) + -4 -21 + 11x = (6 + 3x) + -4 Reorder the terms: -21 + 11x = 6 + -4 + 3x Combine like terms: 6 + -4 = 2 -21 + 11x = 2 + 3x Solving -21 + 11x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -21 + 11x + -3x = 2 + 3x + -3x Combine like terms: 11x + -3x = 8x -21 + 8x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 8x = 2 + 0 -21 + 8x = 2 Add '21' to each side of the equation. -21 + 21 + 8x = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 2 + 21 8x = 2 + 21 Combine like terms: 2 + 21 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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