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Simplifying 8x + 3(x + -7) = 6(x + 1) + -3 Reorder the terms: 8x + 3(-7 + x) = 6(x + 1) + -3 8x + (-7 * 3 + x * 3) = 6(x + 1) + -3 8x + (-21 + 3x) = 6(x + 1) + -3 Reorder the terms: -21 + 8x + 3x = 6(x + 1) + -3 Combine like terms: 8x + 3x = 11x -21 + 11x = 6(x + 1) + -3 Reorder the terms: -21 + 11x = 6(1 + x) + -3 -21 + 11x = (1 * 6 + x * 6) + -3 -21 + 11x = (6 + 6x) + -3 Reorder the terms: -21 + 11x = 6 + -3 + 6x Combine like terms: 6 + -3 = 3 -21 + 11x = 3 + 6x Solving -21 + 11x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 11x + -6x = 3 + 6x + -6x Combine like terms: 11x + -6x = 5x -21 + 5x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 5x = 3 + 0 -21 + 5x = 3 Add '21' to each side of the equation. -21 + 21 + 5x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 3 + 21 5x = 3 + 21 Combine like terms: 3 + 21 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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