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Simplifying 5(4x + 2x) + -1(8x + -12) = 68 Combine like terms: 4x + 2x = 6x 5(6x) + -1(8x + -12) = 68 Remove parenthesis around (6x) 5 * 6x + -1(8x + -12) = 68 Multiply 5 * 6 30x + -1(8x + -12) = 68 Reorder the terms: 30x + -1(-12 + 8x) = 68 30x + (-12 * -1 + 8x * -1) = 68 30x + (12 + -8x) = 68 Reorder the terms: 12 + 30x + -8x = 68 Combine like terms: 30x + -8x = 22x 12 + 22x = 68 Solving 12 + 22x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 22x = 68 + -12 Combine like terms: 12 + -12 = 0 0 + 22x = 68 + -12 22x = 68 + -12 Combine like terms: 68 + -12 = 56 22x = 56 Divide each side by '22'. x = 2.545454545 Simplifying x = 2.545454545
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