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Simplifying 2(3x + 3) + 3(10x + -2x + -58) = 6(x + 6) Reorder the terms: 2(3 + 3x) + 3(10x + -2x + -58) = 6(x + 6) (3 * 2 + 3x * 2) + 3(10x + -2x + -58) = 6(x + 6) (6 + 6x) + 3(10x + -2x + -58) = 6(x + 6) Reorder the terms: 6 + 6x + 3(-58 + 10x + -2x) = 6(x + 6) Combine like terms: 10x + -2x = 8x 6 + 6x + 3(-58 + 8x) = 6(x + 6) 6 + 6x + (-58 * 3 + 8x * 3) = 6(x + 6) 6 + 6x + (-174 + 24x) = 6(x + 6) Reorder the terms: 6 + -174 + 6x + 24x = 6(x + 6) Combine like terms: 6 + -174 = -168 -168 + 6x + 24x = 6(x + 6) Combine like terms: 6x + 24x = 30x -168 + 30x = 6(x + 6) Reorder the terms: -168 + 30x = 6(6 + x) -168 + 30x = (6 * 6 + x * 6) -168 + 30x = (36 + 6x) Solving -168 + 30x = 36 + 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. -168 + 30x + -6x = 36 + 6x + -6x Combine like terms: 30x + -6x = 24x -168 + 24x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -168 + 24x = 36 + 0 -168 + 24x = 36 Add '168' to each side of the equation. -168 + 168 + 24x = 36 + 168 Combine like terms: -168 + 168 = 0 0 + 24x = 36 + 168 24x = 36 + 168 Combine like terms: 36 + 168 = 204 24x = 204 Divide each side by '24'. x = 8.5 Simplifying x = 8.5
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