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Simplifying 8(3x + -7) + 5 = 6x + 21 Reorder the terms: 8(-7 + 3x) + 5 = 6x + 21 (-7 * 8 + 3x * 8) + 5 = 6x + 21 (-56 + 24x) + 5 = 6x + 21 Reorder the terms: -56 + 5 + 24x = 6x + 21 Combine like terms: -56 + 5 = -51 -51 + 24x = 6x + 21 Reorder the terms: -51 + 24x = 21 + 6x Solving -51 + 24x = 21 + 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. -51 + 24x + -6x = 21 + 6x + -6x Combine like terms: 24x + -6x = 18x -51 + 18x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -51 + 18x = 21 + 0 -51 + 18x = 21 Add '51' to each side of the equation. -51 + 51 + 18x = 21 + 51 Combine like terms: -51 + 51 = 0 0 + 18x = 21 + 51 18x = 21 + 51 Combine like terms: 21 + 51 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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