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Simplifying 2(1 + -4x) + -45 = 15(2 + -1x) (1 * 2 + -4x * 2) + -45 = 15(2 + -1x) (2 + -8x) + -45 = 15(2 + -1x) Reorder the terms: 2 + -45 + -8x = 15(2 + -1x) Combine like terms: 2 + -45 = -43 -43 + -8x = 15(2 + -1x) -43 + -8x = (2 * 15 + -1x * 15) -43 + -8x = (30 + -15x) Solving -43 + -8x = 30 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -43 + -8x + 15x = 30 + -15x + 15x Combine like terms: -8x + 15x = 7x -43 + 7x = 30 + -15x + 15x Combine like terms: -15x + 15x = 0 -43 + 7x = 30 + 0 -43 + 7x = 30 Add '43' to each side of the equation. -43 + 43 + 7x = 30 + 43 Combine like terms: -43 + 43 = 0 0 + 7x = 30 + 43 7x = 30 + 43 Combine like terms: 30 + 43 = 73 7x = 73 Divide each side by '7'. x = 10.42857143 Simplifying x = 10.42857143
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