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Simplifying 5x + -4(x + -3) = 3x + 12 Reorder the terms: 5x + -4(-3 + x) = 3x + 12 5x + (-3 * -4 + x * -4) = 3x + 12 5x + (12 + -4x) = 3x + 12 Reorder the terms: 12 + 5x + -4x = 3x + 12 Combine like terms: 5x + -4x = 1x 12 + 1x = 3x + 12 Reorder the terms: 12 + 1x = 12 + 3x Add '-12' to each side of the equation. 12 + -12 + 1x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + 1x = 12 + -12 + 3x 1x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 1x = 0 + 3x 1x = 3x Solving 1x = 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. 1x + -3x = 3x + -3x Combine like terms: 1x + -3x = -2x -2x = 3x + -3x Combine like terms: 3x + -3x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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