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Simplifying 4x + 12 = 3(x + -5) Reorder the terms: 12 + 4x = 3(x + -5) Reorder the terms: 12 + 4x = 3(-5 + x) 12 + 4x = (-5 * 3 + x * 3) 12 + 4x = (-15 + 3x) Solving 12 + 4x = -15 + 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. 12 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = -15 + 0 12 + 1x = -15 Add '-12' to each side of the equation. 12 + -12 + 1x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -15 + -12 1x = -15 + -12 Combine like terms: -15 + -12 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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