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Simplifying 3x + -12 = 4(x + -4) + -5 Reorder the terms: -12 + 3x = 4(x + -4) + -5 Reorder the terms: -12 + 3x = 4(-4 + x) + -5 -12 + 3x = (-4 * 4 + x * 4) + -5 -12 + 3x = (-16 + 4x) + -5 Reorder the terms: -12 + 3x = -16 + -5 + 4x Combine like terms: -16 + -5 = -21 -12 + 3x = -21 + 4x Solving -12 + 3x = -21 + 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 = -21 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = -21 + 0 -12 + -1x = -21 Add '12' to each side of the equation. -12 + 12 + -1x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -21 + 12 -1x = -21 + 12 Combine like terms: -21 + 12 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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