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Simplifying 2(3x + 3) + 3(10x + -4x + -58) = 2(x + 6) Reorder the terms: 2(3 + 3x) + 3(10x + -4x + -58) = 2(x + 6) (3 * 2 + 3x * 2) + 3(10x + -4x + -58) = 2(x + 6) (6 + 6x) + 3(10x + -4x + -58) = 2(x + 6) Reorder the terms: 6 + 6x + 3(-58 + 10x + -4x) = 2(x + 6) Combine like terms: 10x + -4x = 6x 6 + 6x + 3(-58 + 6x) = 2(x + 6) 6 + 6x + (-58 * 3 + 6x * 3) = 2(x + 6) 6 + 6x + (-174 + 18x) = 2(x + 6) Reorder the terms: 6 + -174 + 6x + 18x = 2(x + 6) Combine like terms: 6 + -174 = -168 -168 + 6x + 18x = 2(x + 6) Combine like terms: 6x + 18x = 24x -168 + 24x = 2(x + 6) Reorder the terms: -168 + 24x = 2(6 + x) -168 + 24x = (6 * 2 + x * 2) -168 + 24x = (12 + 2x) Solving -168 + 24x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -168 + 24x + -2x = 12 + 2x + -2x Combine like terms: 24x + -2x = 22x -168 + 22x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -168 + 22x = 12 + 0 -168 + 22x = 12 Add '168' to each side of the equation. -168 + 168 + 22x = 12 + 168 Combine like terms: -168 + 168 = 0 0 + 22x = 12 + 168 22x = 12 + 168 Combine like terms: 12 + 168 = 180 22x = 180 Divide each side by '22'. x = 8.181818182 Simplifying x = 8.181818182
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