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Simplifying 5 + -6(2 + x) = x + -4(x + 3) 5 + (2 * -6 + x * -6) = x + -4(x + 3) 5 + (-12 + -6x) = x + -4(x + 3) Combine like terms: 5 + -12 = -7 -7 + -6x = x + -4(x + 3) Reorder the terms: -7 + -6x = x + -4(3 + x) -7 + -6x = x + (3 * -4 + x * -4) -7 + -6x = x + (-12 + -4x) Reorder the terms: -7 + -6x = -12 + x + -4x Combine like terms: x + -4x = -3x -7 + -6x = -12 + -3x Solving -7 + -6x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + -6x + 3x = -12 + -3x + 3x Combine like terms: -6x + 3x = -3x -7 + -3x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + -3x = -12 + 0 -7 + -3x = -12 Add '7' to each side of the equation. -7 + 7 + -3x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -12 + 7 -3x = -12 + 7 Combine like terms: -12 + 7 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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