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Simplifying 2 + -1(4x + 7) = 3 + 2(x + -2) Reorder the terms: 2 + -1(7 + 4x) = 3 + 2(x + -2) 2 + (7 * -1 + 4x * -1) = 3 + 2(x + -2) 2 + (-7 + -4x) = 3 + 2(x + -2) Combine like terms: 2 + -7 = -5 -5 + -4x = 3 + 2(x + -2) Reorder the terms: -5 + -4x = 3 + 2(-2 + x) -5 + -4x = 3 + (-2 * 2 + x * 2) -5 + -4x = 3 + (-4 + 2x) Combine like terms: 3 + -4 = -1 -5 + -4x = -1 + 2x Solving -5 + -4x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -4x + -2x = -1 + 2x + -2x Combine like terms: -4x + -2x = -6x -5 + -6x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -6x = -1 + 0 -5 + -6x = -1 Add '5' to each side of the equation. -5 + 5 + -6x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -1 + 5 -6x = -1 + 5 Combine like terms: -1 + 5 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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