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Simplifying 2(12 + -1x) + -4(9 + x) = x + 17 (12 * 2 + -1x * 2) + -4(9 + x) = x + 17 (24 + -2x) + -4(9 + x) = x + 17 24 + -2x + (9 * -4 + x * -4) = x + 17 24 + -2x + (-36 + -4x) = x + 17 Reorder the terms: 24 + -36 + -2x + -4x = x + 17 Combine like terms: 24 + -36 = -12 -12 + -2x + -4x = x + 17 Combine like terms: -2x + -4x = -6x -12 + -6x = x + 17 Reorder the terms: -12 + -6x = 17 + x Solving -12 + -6x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -6x + -1x = 17 + x + -1x Combine like terms: -6x + -1x = -7x -12 + -7x = 17 + x + -1x Combine like terms: x + -1x = 0 -12 + -7x = 17 + 0 -12 + -7x = 17 Add '12' to each side of the equation. -12 + 12 + -7x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 17 + 12 -7x = 17 + 12 Combine like terms: 17 + 12 = 29 -7x = 29 Divide each side by '-7'. x = -4.142857143 Simplifying x = -4.142857143
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