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Simplifying -3(x + 4) = 4(x + -2) + 3 Reorder the terms: -3(4 + x) = 4(x + -2) + 3 (4 * -3 + x * -3) = 4(x + -2) + 3 (-12 + -3x) = 4(x + -2) + 3 Reorder the terms: -12 + -3x = 4(-2 + x) + 3 -12 + -3x = (-2 * 4 + x * 4) + 3 -12 + -3x = (-8 + 4x) + 3 Reorder the terms: -12 + -3x = -8 + 3 + 4x Combine like terms: -8 + 3 = -5 -12 + -3x = -5 + 4x Solving -12 + -3x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -3x + -4x = -5 + 4x + -4x Combine like terms: -3x + -4x = -7x -12 + -7x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -7x = -5 + 0 -12 + -7x = -5 Add '12' to each side of the equation. -12 + 12 + -7x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -5 + 12 -7x = -5 + 12 Combine like terms: -5 + 12 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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