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Simplifying 6(2x + 8) + -6(x + -3) = 3x + 102 + x Reorder the terms: 6(8 + 2x) + -6(x + -3) = 3x + 102 + x (8 * 6 + 2x * 6) + -6(x + -3) = 3x + 102 + x (48 + 12x) + -6(x + -3) = 3x + 102 + x Reorder the terms: 48 + 12x + -6(-3 + x) = 3x + 102 + x 48 + 12x + (-3 * -6 + x * -6) = 3x + 102 + x 48 + 12x + (18 + -6x) = 3x + 102 + x Reorder the terms: 48 + 18 + 12x + -6x = 3x + 102 + x Combine like terms: 48 + 18 = 66 66 + 12x + -6x = 3x + 102 + x Combine like terms: 12x + -6x = 6x 66 + 6x = 3x + 102 + x Reorder the terms: 66 + 6x = 102 + 3x + x Combine like terms: 3x + x = 4x 66 + 6x = 102 + 4x Solving 66 + 6x = 102 + 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. 66 + 6x + -4x = 102 + 4x + -4x Combine like terms: 6x + -4x = 2x 66 + 2x = 102 + 4x + -4x Combine like terms: 4x + -4x = 0 66 + 2x = 102 + 0 66 + 2x = 102 Add '-66' to each side of the equation. 66 + -66 + 2x = 102 + -66 Combine like terms: 66 + -66 = 0 0 + 2x = 102 + -66 2x = 102 + -66 Combine like terms: 102 + -66 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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