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Simplifying 2(x + -6) + 3(2x + -7) = 3(2x + 7) Reorder the terms: 2(-6 + x) + 3(2x + -7) = 3(2x + 7) (-6 * 2 + x * 2) + 3(2x + -7) = 3(2x + 7) (-12 + 2x) + 3(2x + -7) = 3(2x + 7) Reorder the terms: -12 + 2x + 3(-7 + 2x) = 3(2x + 7) -12 + 2x + (-7 * 3 + 2x * 3) = 3(2x + 7) -12 + 2x + (-21 + 6x) = 3(2x + 7) Reorder the terms: -12 + -21 + 2x + 6x = 3(2x + 7) Combine like terms: -12 + -21 = -33 -33 + 2x + 6x = 3(2x + 7) Combine like terms: 2x + 6x = 8x -33 + 8x = 3(2x + 7) Reorder the terms: -33 + 8x = 3(7 + 2x) -33 + 8x = (7 * 3 + 2x * 3) -33 + 8x = (21 + 6x) Solving -33 + 8x = 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. -33 + 8x + -6x = 21 + 6x + -6x Combine like terms: 8x + -6x = 2x -33 + 2x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -33 + 2x = 21 + 0 -33 + 2x = 21 Add '33' to each side of the equation. -33 + 33 + 2x = 21 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = 21 + 33 2x = 21 + 33 Combine like terms: 21 + 33 = 54 2x = 54 Divide each side by '2'. x = 27 Simplifying x = 27
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