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Simplifying 8(3x + -9) + 7 = 3x + -2 Reorder the terms: 8(-9 + 3x) + 7 = 3x + -2 (-9 * 8 + 3x * 8) + 7 = 3x + -2 (-72 + 24x) + 7 = 3x + -2 Reorder the terms: -72 + 7 + 24x = 3x + -2 Combine like terms: -72 + 7 = -65 -65 + 24x = 3x + -2 Reorder the terms: -65 + 24x = -2 + 3x Solving -65 + 24x = -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. -65 + 24x + -3x = -2 + 3x + -3x Combine like terms: 24x + -3x = 21x -65 + 21x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -65 + 21x = -2 + 0 -65 + 21x = -2 Add '65' to each side of the equation. -65 + 65 + 21x = -2 + 65 Combine like terms: -65 + 65 = 0 0 + 21x = -2 + 65 21x = -2 + 65 Combine like terms: -2 + 65 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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