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Simplifying 2(3x + 3) + 3(10x + -2x + -58) = 4(x + 6) Reorder the terms: 2(3 + 3x) + 3(10x + -2x + -58) = 4(x + 6) (3 * 2 + 3x * 2) + 3(10x + -2x + -58) = 4(x + 6) (6 + 6x) + 3(10x + -2x + -58) = 4(x + 6) Reorder the terms: 6 + 6x + 3(-58 + 10x + -2x) = 4(x + 6) Combine like terms: 10x + -2x = 8x 6 + 6x + 3(-58 + 8x) = 4(x + 6) 6 + 6x + (-58 * 3 + 8x * 3) = 4(x + 6) 6 + 6x + (-174 + 24x) = 4(x + 6) Reorder the terms: 6 + -174 + 6x + 24x = 4(x + 6) Combine like terms: 6 + -174 = -168 -168 + 6x + 24x = 4(x + 6) Combine like terms: 6x + 24x = 30x -168 + 30x = 4(x + 6) Reorder the terms: -168 + 30x = 4(6 + x) -168 + 30x = (6 * 4 + x * 4) -168 + 30x = (24 + 4x) Solving -168 + 30x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -168 + 30x + -4x = 24 + 4x + -4x Combine like terms: 30x + -4x = 26x -168 + 26x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -168 + 26x = 24 + 0 -168 + 26x = 24 Add '168' to each side of the equation. -168 + 168 + 26x = 24 + 168 Combine like terms: -168 + 168 = 0 0 + 26x = 24 + 168 26x = 24 + 168 Combine like terms: 24 + 168 = 192 26x = 192 Divide each side by '26'. x = 7.384615385 Simplifying x = 7.384615385
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