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Simplifying -4 = 2(3x + -2) + -3(x + 4) Reorder the terms: -4 = 2(-2 + 3x) + -3(x + 4) -4 = (-2 * 2 + 3x * 2) + -3(x + 4) -4 = (-4 + 6x) + -3(x + 4) Reorder the terms: -4 = -4 + 6x + -3(4 + x) -4 = -4 + 6x + (4 * -3 + x * -3) -4 = -4 + 6x + (-12 + -3x) Reorder the terms: -4 = -4 + -12 + 6x + -3x Combine like terms: -4 + -12 = -16 -4 = -16 + 6x + -3x Combine like terms: 6x + -3x = 3x -4 = -16 + 3x Solving -4 = -16 + 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. -4 + -3x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -3x = -16 + 0 -4 + -3x = -16 Add '4' to each side of the equation. -4 + 4 + -3x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -16 + 4 -3x = -16 + 4 Combine like terms: -16 + 4 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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