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Simplifying 3x + -12 + 2(-1x + -5) = 7x + 7 Reorder the terms: 3x + -12 + 2(-5 + -1x) = 7x + 7 3x + -12 + (-5 * 2 + -1x * 2) = 7x + 7 3x + -12 + (-10 + -2x) = 7x + 7 Reorder the terms: -12 + -10 + 3x + -2x = 7x + 7 Combine like terms: -12 + -10 = -22 -22 + 3x + -2x = 7x + 7 Combine like terms: 3x + -2x = 1x -22 + 1x = 7x + 7 Reorder the terms: -22 + 1x = 7 + 7x Solving -22 + 1x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -22 + 1x + -7x = 7 + 7x + -7x Combine like terms: 1x + -7x = -6x -22 + -6x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + -6x = 7 + 0 -22 + -6x = 7 Add '22' to each side of the equation. -22 + 22 + -6x = 7 + 22 Combine like terms: -22 + 22 = 0 0 + -6x = 7 + 22 -6x = 7 + 22 Combine like terms: 7 + 22 = 29 -6x = 29 Divide each side by '-6'. x = -4.833333333 Simplifying x = -4.833333333
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